564642798048 has 576 divisors, whose sum is σ = 2012724080640. Its totient is φ = 150696806400.

The previous prime is 564642797969. The next prime is 564642798059. The reversal of 564642798048 is 840897246465.

564642798048 is a `hidden beast` number, since 56 + 46 + 427 + 9 + 80 + 48 = 666.

564642798048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×564642798048³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157675618 + ... + 157679198.

It is an arithmetic number, because the mean of its divisors is an integer number (3494312640).

Almost surely, 2^564642798048 is an apocalyptic number.

564642798048 is a gapful number since it is divisible by the number (58) 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 564642798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006362040320).

564642798048 is an abundant number, since it is smaller than the sum of its proper divisors (1448081282592).

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

564642798048 is a wasteful number, since it uses less digits than its factorization.

564642798048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

It can be divided in two parts, 5646427 and 98048, that added together give a palindrome (5744475).

The spelling of 564642798048 in words is "five hundred sixty-four billion, six hundred forty-two million, seven hundred ninety-eight thousand, forty-eight".