687707487578160 has 640 divisors, whose sum is σ = 2710308662476800. Its totient is φ = 157007902141440.

The previous prime is 687707487578129. The next prime is 687707487578161. The reversal of 687707487578160 is 61875784707786.

687707487578160 is a `hidden beast` number, since 6 + 8 + 7 + 7 + 0 + 7 + 487 + 5 + 78 + 1 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 687707487578160.

It is not an unprimeable number, because it can be changed into a prime (687707487578161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80537235171 + ... + 80537243709.

It is an arithmetic number, because the mean of its divisors is an integer number (4234857285120).

Almost surely, 2^{687707487578160} is an apocalyptic number.

687707487578160 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 687707487578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355154331238400).

687707487578160 is an abundant number, since it is smaller than the sum of its proper divisors (2022601174898640).

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

687707487578160 is a wasteful number, since it uses less digits than its factorization.

687707487578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 6195732480, while the sum is 81.

The spelling of 687707487578160 in words is "six hundred eighty-seven trillion, seven hundred seven billion, four hundred eighty-seven million, five hundred seventy-eight thousand, one hundred sixty".