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6720725640 = 23352910718049
BaseRepresentation
bin1100100001001011…
…00010001010001000
3122100101020020101110
412100211202022020
5102231001210030
63030520250320
7325355140206
oct62045421210
918311206343
106720725640
112939746712
1213769109a0
138314b3945
1447a820076
152950511b0
hex190962288

6720725640 has 128 divisors (see below), whose sum is σ = 21053520000. Its totient is φ = 1714126848.

The previous prime is 6720725633. The next prime is 6720725647. The reversal of 6720725640 is 465270276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6720725633) and next prime (6720725647).

It is not an unprimeable number, because it can be changed into a prime (6720725647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363336 + ... + 381384.

It is an arithmetic number, because the mean of its divisors is an integer number (164480625).

Almost surely, 26720725640 is an apocalyptic number.

6720725640 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 6720725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526760000).

6720725640 is an abundant number, since it is smaller than the sum of its proper divisors (14332794360).

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

6720725640 is a wasteful number, since it uses less digits than its factorization.

6720725640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18199 (or 18195 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 6720725640 is about 81980.0319590082. The cubic root of 6720725640 is about 1887.1455132426.

The spelling of 6720725640 in words is "six billion, seven hundred twenty million, seven hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 107 116 120 145 174 214 232 290 321 348 428 435 535 580 642 696 856 870 1070 1160 1284 1605 1740 2140 2568 3103 3210 3480 4280 6206 6420 9309 12412 12840 15515 18049 18618 24824 31030 36098 37236 46545 54147 62060 72196 74472 90245 93090 108294 124120 144392 180490 186180 216588 270735 360980 372360 433176 523421 541470 721960 1046842 1082940 1570263 1931243 2093684 2165880 2617105 3140526 3862486 4187368 5234210 5793729 6281052 7724972 7851315 9656215 10468420 11587458 12562104 15449944 15702630 19312430 20936840 23174916 28968645 31405260 38624860 46349832 56006047 57937290 62810520 77249720 112012094 115874580 168018141 224024188 231749160 280030235 336036282 448048376 560060470 672072564 840090705 1120120940 1344145128 1680181410 2240241880 3360362820 6720725640