564006132800 has 84 divisors (see below), whose sum is σ = 1513971964176. Its totient is φ = 205093132800.

The previous prime is 564006132743. The next prime is 564006132821. The reversal of 564006132800 is 8231600465.

It is a super-2 number, since 2×564006132800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16005302 + ... + 16040501.

It is an arithmetic number, because the mean of its divisors is an integer number (18023475764).

Almost surely, 2^564006132800 is an apocalyptic number.

564006132800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564006132800 is an abundant number, since it is smaller than the sum of its proper divisors (949965831376).

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

564006132800 is a wasteful number, since it uses less digits than its factorization.

564006132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32045836 (or 32045821 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 564006132800 in words is "five hundred sixty-four billion, six million, one hundred thirty-two thousand, eight hundred".