564801933696 has 1152 divisors, whose sum is σ = 2112258758400. Its totient is φ = 130105958400.

The previous prime is 564801933677. The next prime is 564801933719. The reversal of 564801933696 is 696339108465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4063323195 + ... + 4063323333.

It is an arithmetic number, because the mean of its divisors is an integer number (1833557950).

Almost surely, 2^564801933696 is an apocalyptic number.

564801933696 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 564801933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056129379200).

564801933696 is an abundant number, since it is smaller than the sum of its proper divisors (1547456824704).

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

564801933696 is a wasteful number, since it uses less digits than its factorization.

564801933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 564801933696 in words is "five hundred sixty-four billion, eight hundred one million, nine hundred thirty-three thousand, six hundred ninety-six".