68957568000 has 616 divisors, whose sum is σ = 258282108240. Its totient is φ = 18363801600.

The previous prime is 68957567999. The next prime is 68957568041. The reversal of 68957568000 is 86575986.

68957568000 is a `hidden beast` number, since 6 + 8 + 9 + 575 + 68 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311631 + ... + 93312369.

Almost surely, 2^68957568000 is an apocalyptic number.

68957568000 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 68957568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129141054120).

68957568000 is an abundant number, since it is smaller than the sum of its proper divisors (189324540240).

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

68957568000 is an frugal number, since it uses more digits than its factorization.

68957568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 68957568000 in words is "sixty-eight billion, nine hundred fifty-seven million, five hundred sixty-eight thousand".