568400716800 has 1848 divisors, whose sum is σ = 2552392836800. Its totient is φ = 122544783360.

The previous prime is 568400716747. The next prime is 568400716817. The reversal of 568400716800 is 8617004865.

It is a happy number.

568400716800 is a `hidden beast` number, since 568 + 4 + 0 + 0 + 7 + 1 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2482099086 + ... + 2482099314.

Almost surely, 2^568400716800 is an apocalyptic number.

568400716800 is a gapful number since it is divisible by the number (50) 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 568400716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276196418400).

568400716800 is an abundant number, since it is smaller than the sum of its proper divisors (1983992120000).

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

568400716800 is a wasteful number, since it uses less digits than its factorization.

568400716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 568400716800 in words is "five hundred sixty-eight billion, four hundred million, seven hundred sixteen thousand, eight hundred".