564337536 has 128 divisors (see below), whose sum is σ = 1737884160. Its totient is φ = 158914560.

The previous prime is 564337513. The next prime is 564337541. The reversal of 564337536 is 635733465.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189370 + ... + 192326.

It is an arithmetic number, because the mean of its divisors is an integer number (13577220).

Almost surely, 2^564337536 is an apocalyptic number.

564337536 is a gapful number since it is divisible by the number (56) 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 564337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868942080).

564337536 is an abundant number, since it is smaller than the sum of its proper divisors (1173546624).

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

564337536 is a wasteful number, since it uses less digits than its factorization.

564337536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3040 counting only the distinct ones).

The product of its digits is 680400, while the sum is 42.

The square root of 564337536 is about 23755.7895259240. The cubic root of 564337536 is about 826.3797107849.

The spelling of 564337536 in words is "five hundred sixty-four million, three hundred thirty-seven thousand, five hundred thirty-six".