564268881568 has 144 divisors (see below), whose sum is σ = 1314050774400. Its totient is φ = 233624586240.

The previous prime is 564268881523. The next prime is 564268881569. The reversal of 564268881568 is 865188862465.

It is a super-2 number, since 2×564268881568² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564268881569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38776758 + ... + 38791306.

It is an arithmetic number, because the mean of its divisors is an integer number (9125352600).

Almost surely, 2^564268881568 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 564268881568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657025387200).

564268881568 is an abundant number, since it is smaller than the sum of its proper divisors (749781892832).

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

564268881568 is a wasteful number, since it uses less digits than its factorization.

564268881568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751 (or 14702 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 67.

The spelling of 564268881568 in words is "five hundred sixty-four billion, two hundred sixty-eight million, eight hundred eighty-one thousand, five hundred sixty-eight".