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6680066760 = 233454743867
BaseRepresentation
bin1100011100010100…
…11011101011001000
3122020112201112220000
412032022123223020
5102140044114020
63022505003000
7324352426203
oct61612335310
918215645800
106680066760
1129187a6034
121365183460
13825c49233
1447527893a
152916be090
hex18e29bac8

6680066760 has 160 divisors (see below), whose sum is σ = 22930680960. Its totient is φ = 1743410304.

The previous prime is 6680066749. The next prime is 6680066773. The reversal of 6680066760 is 676600866.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130347 + ... + 174213.

It is an arithmetic number, because the mean of its divisors is an integer number (143316756).

Almost surely, 26680066760 is an apocalyptic number.

6680066760 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 6680066760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465340480).

6680066760 is an abundant number, since it is smaller than the sum of its proper divisors (16250614200).

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

6680066760 is a wasteful number, since it uses less digits than its factorization.

6680066760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43937 (or 43924 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6680066760 is about 81731.6753774202. The cubic root of 6680066760 is about 1883.3322108920.

The spelling of 6680066760 in words is "six billion, six hundred eighty million, sixty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 90 94 108 120 135 141 162 180 188 216 235 270 282 324 360 376 405 423 470 540 564 648 705 810 846 940 1080 1128 1269 1410 1620 1692 1880 2115 2538 2820 3240 3384 3807 4230 5076 5640 6345 7614 8460 10152 12690 15228 16920 19035 25380 30456 38070 43867 50760 76140 87734 131601 152280 175468 219335 263202 350936 394803 438670 526404 658005 789606 877340 1052808 1184409 1316010 1579212 1754680 1974015 2061749 2368818 2632020 3158424 3553227 3948030 4123498 4737636 5264040 5922045 6185247 7106454 7896060 8246996 9475272 10308745 11844090 12370494 14212908 15792120 16493992 17766135 18555741 20617490 23688180 24740988 28425816 30926235 35532270 37111482 41234980 47376360 49481976 55667223 61852470 71064540 74222964 82469960 92778705 111334446 123704940 142129080 148445928 167001669 185557410 222668892 247409880 278336115 334003338 371114820 445337784 556672230 668006676 742229640 835008345 1113344460 1336013352 1670016690 2226688920 3340033380 6680066760