564564457864 has 128 divisors (see below), whose sum is σ = 1250768977920. Its totient is φ = 236041344000.

The previous prime is 564564457861. The next prime is 564564457909. The reversal of 564564457864 is 468754465465.

It is a junction number, because it is equal to n+sod(n) for n = 564564457796 and 564564457805.

It is not an unprimeable number, because it can be changed into a prime (564564457861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12707289 + ... + 12751639.

It is an arithmetic number, because the mean of its divisors is an integer number (9771632640).

Almost surely, 2^564564457864 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 564564457864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625384488960).

564564457864 is an abundant number, since it is smaller than the sum of its proper divisors (686204520056).

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

564564457864 is a wasteful number, since it uses less digits than its factorization.

564564457864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44579 (or 44575 counting only the distinct ones).

The product of its digits is 387072000, while the sum is 64.

The spelling of 564564457864 in words is "five hundred sixty-four billion, five hundred sixty-four million, four hundred fifty-seven thousand, eight hundred sixty-four".