564788736 has 180 divisors, whose sum is σ = 1724507928. Its totient is φ = 177610752.

The previous prime is 564788729. The next prime is 564788743. The reversal of 564788736 is 637887465.

564788736 is a `hidden beast` number, since 564 + 7 + 8 + 8 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (564788729) and next prime (564788743).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7736796 + ... + 7736868.

Almost surely, 2^564788736 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 564788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862253964).

564788736 is an abundant number, since it is smaller than the sum of its proper divisors (1159719192).

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

564788736 is an equidigital number, since it uses as much as digits as its factorization.

564788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 101 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 564788736 is about 23765.2842608709. The cubic root of 564788736 is about 826.5998882351.

The spelling of 564788736 in words is "five hundred sixty-four million, seven hundred eighty-eight thousand, seven hundred thirty-six".