568668800 has 192 divisors, whose sum is σ = 1639180800. Its totient is φ = 190894080.

The previous prime is 568668797. The next prime is 568668817. The reversal of 568668800 is 8866865.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186961 + ... + 1187439.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2^568668800 is an apocalyptic number.

568668800 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 568668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

568668800 is an abundant number, since it is smaller than the sum of its proper divisors (1070512000).

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

568668800 is a wasteful number, since it uses less digits than its factorization.

568668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 568668800 is about 23846.7775600814. Note that the first 3 decimals coincide. The cubic root of 568668800 is about 828.4884668649.

The spelling of 568668800 in words is "five hundred sixty-eight million, six hundred sixty-eight thousand, eight hundred".