564256368900 has 567 divisors, whose sum is σ = 2092052389791. Its totient is φ = 127206132480.

The previous prime is 564256368859. The next prime is 564256368911. The reversal of 564256368900 is 9863652465.

The square root of 564256368900 is 751170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3087580356 + 561168788544 = 55566^2 + 749112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7729539264 + ... + 7729539336.

Almost surely, 2^564256368900 is an apocalyptic number.

564256368900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564256368900 is the 751170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564256368900

564256368900 is an abundant number, since it is smaller than the sum of its proper divisors (1527796020891).

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

564256368900 is an frugal number, since it uses more digits than its factorization.

564256368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 564256 and 368900, that added together give a square (933156 = 966²).

The spelling of 564256368900 in words is "five hundred sixty-four billion, two hundred fifty-six million, three hundred sixty-eight thousand, nine hundred".