564255719424 has 204 divisors, whose sum is σ = 1634743726200. Its totient is φ = 187545157632.

The previous prime is 564255719389. The next prime is 564255719429. The reversal of 564255719424 is 424917552465.

564255719424 is a `hidden beast` number, since 5 + 6 + 4 + 25 + 571 + 9 + 42 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (564255719429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241236847 + ... + 241239185.

Almost surely, 2^564255719424 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 564255719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817371863100).

564255719424 is an abundant number, since it is smaller than the sum of its proper divisors (1070488006776).

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

564255719424 is an equidigital number, since it uses as much as digits as its factorization.

564255719424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2753 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 564255719424 in words is "five hundred sixty-four billion, two hundred fifty-five million, seven hundred nineteen thousand, four hundred twenty-four".