564791172736 has 96 divisors (see below), whose sum is σ = 1309271346180. Its totient is φ = 241979351040.

The previous prime is 564791172661. The next prime is 564791172787. The reversal of 564791172736 is 637271197465.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 545175489600 + 19615683136 = 738360^2 + 140056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23777826 + ... + 23801566.

Almost surely, 2^564791172736 is an apocalyptic number.

564791172736 is a gapful number since it is divisible by the number (56) 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 564791172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654635673090).

564791172736 is an abundant number, since it is smaller than the sum of its proper divisors (744480173444).

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

564791172736 is a wasteful number, since it uses less digits than its factorization.

564791172736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27562 (or 27543 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 58.

The spelling of 564791172736 in words is "five hundred sixty-four billion, seven hundred ninety-one million, one hundred seventy-two thousand, seven hundred thirty-six".