564063360 has 128 divisors (see below), whose sum is σ = 2054851200. Its totient is φ = 128925696.

The previous prime is 564063319. The next prime is 564063361. The reversal of 564063360 is 63360465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (564063361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545 + ... + 34424.

It is an arithmetic number, because the mean of its divisors is an integer number (16053525).

Almost surely, 2^564063360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027425600).

564063360 is an abundant number, since it is smaller than the sum of its proper divisors (1490787840).

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

564063360 is a wasteful number, since it uses less digits than its factorization.

564063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41998 (or 41986 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 564063360 is about 23750.0181052563. The cubic root of 564063360 is about 826.2458605200.

The spelling of 564063360 in words is "five hundred sixty-four million, sixty-three thousand, three hundred sixty".