564513564400 has 60 divisors (see below), whose sum is σ = 1363344776064. Its totient is φ = 224623168000.

The previous prime is 564513564371. The next prime is 564513564401. The reversal of 564513564400 is 4465315465.

564513564400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564513564401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3618061 + ... + 3770860.

Almost surely, 2^564513564400 is an apocalyptic number.

564513564400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564513564400 is an abundant number, since it is smaller than the sum of its proper divisors (798831211664).

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

564513564400 is a wasteful number, since it uses less digits than its factorization.

564513564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389130 (or 7389119 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

Adding to 564513564400 its reverse (4465315465), we get a palindrome (568978879865).

The spelling of 564513564400 in words is "five hundred sixty-four billion, five hundred thirteen million, five hundred sixty-four thousand, four hundred".