564365664 has 192 divisors, whose sum is σ = 1790208000. Its totient is φ = 172316160.

The previous prime is 564365663. The next prime is 564365689. The reversal of 564365664 is 466563465.

564365664 is a `hidden beast` number, since 56 + 4 + 36 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564365663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508342 + ... + 509450.

It is an arithmetic number, because the mean of its divisors is an integer number (9324000).

Almost surely, 2^564365664 is an apocalyptic number.

564365664 is a gapful number since it is divisible by the number (54) 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 564365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895104000).

564365664 is an abundant number, since it is smaller than the sum of its proper divisors (1225842336).

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

564365664 is a wasteful number, since it uses less digits than its factorization.

564365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1164 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 564365664 is about 23756.3815426508. The cubic root of 564365664 is about 826.3934401702.

The spelling of 564365664 in words is "five hundred sixty-four million, three hundred sixty-five thousand, six hundred sixty-four".