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6740666640 = 243355096131
BaseRepresentation
bin1100100011100011…
…00110100100010000
3122101202202100022000
412101301212210100
5102301102313030
63032511514000
7326016502221
oct62161464420
918352670260
106740666640
112949a26684
121381528900
13835676256
1447d331248
15296b8e860
hex191c66910

6740666640 has 160 divisors (see below), whose sum is σ = 23267260800. Its totient is φ = 1793687040.

The previous prime is 6740666599. The next prime is 6740666663. The reversal of 6740666640 is 466660476.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096375 + ... + 1102505.

It is an arithmetic number, because the mean of its divisors is an integer number (145420380).

Almost surely, 26740666640 is an apocalyptic number.

6740666640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6740666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633630400).

6740666640 is an abundant number, since it is smaller than the sum of its proper divisors (16526594160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6740666640 is a wasteful number, since it uses less digits than its factorization.

6740666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6740666640 is about 82101.5629571082. The cubic root of 6740666640 is about 1889.0101140397.

It can be divided in two parts, 6740 and 666640, that added together give a triangular number (673380 = T1160).

The spelling of 6740666640 in words is "six billion, seven hundred forty million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 509 540 720 1018 1080 1527 2036 2160 2545 3054 4072 4581 5090 6108 6131 7635 8144 9162 10180 12216 12262 13743 15270 18324 18393 20360 22905 24432 24524 27486 30540 30655 36648 36786 40720 45810 49048 54972 55179 61080 61310 68715 73296 73572 91620 91965 98096 109944 110358 122160 122620 137430 147144 165537 183240 183930 219888 220716 245240 274860 275895 294288 331074 366480 367860 441432 490480 549720 551790 662148 735720 827685 882864 1099440 1103580 1324296 1471440 1655370 2207160 2648592 3120679 3310740 4414320 6241358 6621480 9362037 12482716 13242960 15603395 18724074 24965432 28086111 31206790 37448148 46810185 49930864 56172222 62413580 74896296 84258333 93620370 112344444 124827160 140430555 149792592 168516666 187240740 224688888 249654320 280861110 337033332 374481480 421291665 449377776 561722220 674066664 748962960 842583330 1123444440 1348133328 1685166660 2246888880 3370333320 6740666640