564727631366800 has 240 divisors, whose sum is σ = 1494945770829120. Its totient is φ = 203296226560000.

The previous prime is 564727631366753. The next prime is 564727631366819. The reversal of 564727631366800 is 8663136727465.

It is a super-2 number, since 2×564727631366800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3652446294 + ... + 3652600906.

It is an arithmetic number, because the mean of its divisors is an integer number (6228940711788).

Almost surely, 2^{564727631366800} is an apocalyptic number.

564727631366800 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 564727631366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747472885414560).

564727631366800 is an abundant number, since it is smaller than the sum of its proper divisors (930218139462320).

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

564727631366800 is a wasteful number, since it uses less digits than its factorization.

564727631366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162962 (or 162951 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 64.

The spelling of 564727631366800 in words is "five hundred sixty-four trillion, seven hundred twenty-seven billion, six hundred thirty-one million, three hundred sixty-six thousand, eight hundred".