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680816562720 = 25357202623977
BaseRepresentation
bin10011110100000111101…
…01000101001000100000
32102002022021110210221220
421322003311011020200
542123303020001340
61240432433415040
7100121161204650
oct11720365051040
92362267423856
10680816562720
112428072232a8
12abb4410a480
134c27bcc3c18
1424d4765a360
1512a99d85ed0
hex9e83d45220

680816562720 has 96 divisors (see below), whose sum is σ = 2450939637888. Its totient is φ = 155615213568.

The previous prime is 680816562709. The next prime is 680816562721. The reversal of 680816562720 is 27265618086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6808165627202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (680816562721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101308629 + ... + 101315348.

It is an arithmetic number, because the mean of its divisors is an integer number (25530621228).

Almost surely, 2680816562720 is an apocalyptic number.

680816562720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680816562720 is an abundant number, since it is smaller than the sum of its proper divisors (1770123075168).

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

680816562720 is a wasteful number, since it uses less digits than its factorization.

680816562720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202624002 (or 202623994 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 680816562720 in words is "six hundred eighty billion, eight hundred sixteen million, five hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 202623977 405247954 607871931 810495908 1013119885 1215743862 1418367839 1620991816 2026239770 2431487724 2836735678 3039359655 3241983632 4052479540 4255103517 4862975448 5673471356 6078719310 6483967264 7091839195 8104959080 8510207034 9725950896 11346942712 12157438620 14183678390 16209918160 17020414068 19451901792 21275517585 22693885424 24314877240 28367356780 32419836320 34040828136 42551035170 45387770848 48629754480 56734713560 68081656272 85102070340 97259508960 113469427120 136163312544 170204140680 226938854240 340408281360 680816562720