564341993600 has 384 divisors, whose sum is σ = 1742312592000. Its totient is φ = 175472640000.

The previous prime is 564341993599. The next prime is 564341993639. The reversal of 564341993600 is 6399143465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110631050 + ... + 110636150.

It is an arithmetic number, because the mean of its divisors is an integer number (4537272375).

Almost surely, 2^564341993600 is an apocalyptic number.

564341993600 is a gapful number since it is divisible by the number (50) 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 564341993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871156296000).

564341993600 is an abundant number, since it is smaller than the sum of its proper divisors (1177970598400).

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

564341993600 is a wasteful number, since it uses less digits than its factorization.

564341993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 50.

The spelling of 564341993600 in words is "five hundred sixty-four billion, three hundred forty-one million, nine hundred ninety-three thousand, six hundred".