564320352441600 has 162 divisors, whose sum is σ = 2017572624153086. Its totient is φ = 150485427302400.

The previous prime is 564320352441589. The next prime is 564320352441613. The reversal of 564320352441600 is 6144253023465.

564320352441600 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 2 + 0 + 35 + 2 + 4 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 93866334679296 + 470454017762304 = 9688464^2 + 21689952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4898556571 + ... + 4898671770.

Almost surely, 2^{564320352441600} is an apocalyptic number.

564320352441600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564320352441600 is an abundant number, since it is smaller than the sum of its proper divisors (1453252271711486).

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

564320352441600 is a wasteful number, since it uses less digits than its factorization.

564320352441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797228373 (or 9797228351 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 564320352441600 in words is "five hundred sixty-four trillion, three hundred twenty billion, three hundred fifty-two million, four hundred forty-one thousand, six hundred".