564330074112 has 1456 divisors, whose sum is σ = 2148663120000. Its totient is φ = 147483721728.

The previous prime is 564330074111. The next prime is 564330074129. The reversal of 564330074112 is 211470033465.

564330074112 is a `hidden beast` number, since 5 + 643 + 3 + 0 + 0 + 7 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564330074111) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19459657714 + ... + 19459657742.

Almost surely, 2^564330074112 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 564330074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074331560000).

564330074112 is an abundant number, since it is smaller than the sum of its proper divisors (1584333045888).

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

564330074112 is an frugal number, since it uses more digits than its factorization.

564330074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 564330074112 in words is "five hundred sixty-four billion, three hundred thirty million, seventy-four thousand, one hundred twelve".