564842433600 has 189 divisors, whose sum is σ = 2007903972373. Its totient is φ = 150600599040.

The previous prime is 564842433587. The next prime is 564842433601. The reversal of 564842433600 is 6334248465.

The square root of 564842433600 is 751560.

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

564842433600 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 4 + 2 + 4 + 33 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203343276096 + 361499157504 = 450936^2 + 601248^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564842433601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90184069 + ... + 90190331.

Almost surely, 2^564842433600 is an apocalyptic number.

564842433600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564842433600 is the 751560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564842433600

564842433600 is an abundant number, since it is smaller than the sum of its proper divisors (1443061538773).

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

564842433600 is an frugal number, since it uses more digits than its factorization.

564842433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

It can be divided in two parts, 56484 and 2433600, that added together give a square (2490084 = 1578²).

The spelling of 564842433600 in words is "five hundred sixty-four billion, eight hundred forty-two million, four hundred thirty-three thousand, six hundred".