564658263360 has 672 divisors, whose sum is σ = 2042458704000. Its totient is φ = 143052521472.

The previous prime is 564658263353. The next prime is 564658263383. The reversal of 564658263360 is 63362856465.

564658263360 is a `hidden beast` number, since 56 + 4 + 6 + 582 + 6 + 3 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×564658263360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564658263297 and 564658263306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796414686 + ... + 796415394.

Almost surely, 2^564658263360 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 564658263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021229352000).

564658263360 is an abundant number, since it is smaller than the sum of its proper divisors (1477800440640).

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

564658263360 is a wasteful number, since it uses less digits than its factorization.

564658263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 564658263360 in words is "five hundred sixty-four billion, six hundred fifty-eight million, two hundred sixty-three thousand, three hundred sixty".