564360960 has 288 divisors, whose sum is σ = 1907297280. Its totient is φ = 142065664.

The previous prime is 564360919. The next prime is 564360961. The reversal of 564360960 is 69063465.

It is a happy number.

It is a super-3 number, since 3×564360960³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564360961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9565411 + ... + 9565469.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^564360960 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 564360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953648640).

564360960 is an abundant number, since it is smaller than the sum of its proper divisors (1342936320).

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

564360960 is a wasteful number, since it uses less digits than its factorization.

564360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 564360960 is about 23756.2825374679. The cubic root of 564360960 is about 826.3911441614.

The spelling of 564360960 in words is "five hundred sixty-four million, three hundred sixty thousand, nine hundred sixty".