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680714572222080 = 27345112946578839
BaseRepresentation
bin1001101011000110110011011…
…0010001010100111010000000
310022021012200021221110011210000
42122301230312101110322000
51203210311420442101310
610411431542443440000
7263245001451146514
oct23261546621247200
93267180257404700
10680714572222080
11187995479910920
126441b064b26000
13232aa154b38a96
14c014a925d6144
1553a6e351744c0
hex26b1b36454e80

680714572222080 has 1280 divisors, whose sum is σ = 2744296622496000. Its totient is φ = 159279075164160.

The previous prime is 680714572222019. The next prime is 680714572222121. The reversal of 680714572222080 is 80222275417086.

It is a happy number.

680714572222080 is a `hidden beast` number, since 6 + 8 + 0 + 71 + 457 + 2 + 22 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77012618301 + ... + 77012627139.

It is an arithmetic number, because the mean of its divisors is an integer number (2143981736325).

Almost surely, 2680714572222080 is an apocalyptic number.

680714572222080 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 680714572222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372148311248000).

680714572222080 is an abundant number, since it is smaller than the sum of its proper divisors (2063582050273920).

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

680714572222080 is a wasteful number, since it uses less digits than its factorization.

680714572222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13567 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 680714572222080 in words is "six hundred eighty trillion, seven hundred fourteen billion, five hundred seventy-two million, two hundred twenty-two thousand, eighty".