564481376800 has 288 divisors, whose sum is σ = 1529620848000. Its totient is φ = 201695846400.

The previous prime is 564481376783. The next prime is 564481376821. The reversal of 564481376800 is 8673184465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188221701 + ... + 188224699.

It is an arithmetic number, because the mean of its divisors is an integer number (5311183500).

Almost surely, 2^564481376800 is an apocalyptic number.

564481376800 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 564481376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764810424000).

564481376800 is an abundant number, since it is smaller than the sum of its proper divisors (965139471200).

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

564481376800 is a wasteful number, since it uses less digits than its factorization.

564481376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 564481376800 in words is "five hundred sixty-four billion, four hundred eighty-one million, three hundred seventy-six thousand, eight hundred".