688164260400 has 240 divisors, whose sum is σ = 2578269206400. Its totient is φ = 173851971840.

The previous prime is 688164260369. The next prime is 688164260447. The reversal of 688164260400 is 4062461886.

688164260400 is a `hidden beast` number, since 6 + 88 + 164 + 2 + 6 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1471614 + ... + 1882013.

It is an arithmetic number, because the mean of its divisors is an integer number (10742788360).

Almost surely, 2^688164260400 is an apocalyptic number.

688164260400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688164260400 is an abundant number, since it is smaller than the sum of its proper divisors (1890104946000).

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

688164260400 is a wasteful number, since it uses less digits than its factorization.

688164260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353673 (or 3353656 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 688164260400 in words is "six hundred eighty-eight billion, one hundred sixty-four million, two hundred sixty thousand, four hundred".