688725570960 has 320 divisors, whose sum is σ = 2870655552000. Its totient is φ = 148162756608.

The previous prime is 688725570881. The next prime is 688725570971. The reversal of 688725570960 is 69075527886.

688725570960 is a `hidden beast` number, since 6 + 8 + 8 + 72 + 557 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1082685 + ... + 1596764.

It is an arithmetic number, because the mean of its divisors is an integer number (8970798600).

Almost surely, 2^688725570960 is an apocalyptic number.

688725570960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688725570960 is an abundant number, since it is smaller than the sum of its proper divisors (2181929981040).

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

688725570960 is a wasteful number, since it uses less digits than its factorization.

688725570960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679495 (or 2679483 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 688725570960 in words is "six hundred eighty-eight billion, seven hundred twenty-five million, five hundred seventy thousand, nine hundred sixty".