568168790400 has 576 divisors, whose sum is σ = 2065211478720. Its totient is φ = 148700344320.

The previous prime is 568168790389. The next prime is 568168790411. The reversal of 568168790400 is 4097861865.

568168790400 is a `hidden beast` number, since 5 + 6 + 8 + 168 + 79 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (568168790389) and next prime (568168790411).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1009180519 + ... + 1009181081.

It is an arithmetic number, because the mean of its divisors is an integer number (3585436595).

Almost surely, 2^568168790400 is an apocalyptic number.

568168790400 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 568168790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032605739360).

568168790400 is an abundant number, since it is smaller than the sum of its proper divisors (1497042688320).

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

568168790400 is a wasteful number, since it uses less digits than its factorization.

568168790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 568168790400 in words is "five hundred sixty-eight billion, one hundred sixty-eight million, seven hundred ninety thousand, four hundred".