564347049120 has 576 divisors, whose sum is σ = 2085146219520. Its totient is φ = 143974195200.

The previous prime is 564347049061. The next prime is 564347049163. The reversal of 564347049120 is 21940743465.

564347049120 is a `hidden beast` number, since 5 + 64 + 34 + 70 + 491 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 107267290 + ... + 107272550.

It is an arithmetic number, because the mean of its divisors is an integer number (3620045520).

Almost surely, 2^564347049120 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 564347049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042573109760).

564347049120 is an abundant number, since it is smaller than the sum of its proper divisors (1520799170400).

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

564347049120 is a wasteful number, since it uses less digits than its factorization.

564347049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 564347049120 in words is "five hundred sixty-four billion, three hundred forty-seven million, forty-nine thousand, one hundred twenty".