564214874400 has 576 divisors, whose sum is σ = 2097109526400. Its totient is φ = 146400307200.

The previous prime is 564214874381. The next prime is 564214874413. The reversal of 564214874400 is 4478412465.

564214874400 is a `hidden beast` number, since 5 + 64 + 2 + 148 + 7 + 440 + 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1488693411 + ... + 1488693789.

It is an arithmetic number, because the mean of its divisors is an integer number (3640815150).

Almost surely, 2^564214874400 is an apocalyptic number.

564214874400 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 564214874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048554763200).

564214874400 is an abundant number, since it is smaller than the sum of its proper divisors (1532894652000).

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

564214874400 is an equidigital number, since it uses as much as digits as its factorization.

564214874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 564214874400 in words is "five hundred sixty-four billion, two hundred fourteen million, eight hundred seventy-four thousand, four hundred".