688618975080960 has 3600 divisors, whose sum is σ = 3166730818130880. Its totient is φ = 142996922449920.

The previous prime is 688618975080943. The next prime is 688618975080961. The reversal of 688618975080960 is 69080579816886.

688618975080960 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 18 + 9 + 7 + 508 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 688618975080960.

It is not an unprimeable number, because it can be changed into a prime (688618975080961) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 446285789949 + ... + 446285791491.

Almost surely, 2^{688618975080960} is an apocalyptic number.

688618975080960 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 688618975080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583365409065440).

688618975080960 is an abundant number, since it is smaller than the sum of its proper divisors (2478111843049920).

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

688618975080960 is an frugal number, since it uses more digits than its factorization.

688618975080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 688618975080960 in words is "six hundred eighty-eight trillion, six hundred eighteen billion, nine hundred seventy-five million, eighty thousand, nine hundred sixty".