564211299600 has 945 divisors, whose sum is σ = 2221466419263. Its totient is φ = 137584811520.

The previous prime is 564211299577. The next prime is 564211299601. The reversal of 564211299600 is 6992112465.

The square root of 564211299600 is 751140.

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

564211299600 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 11 + 29 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145426297104 + 418785002496 = 381348^2 + 647136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (564211299601) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5273002747 + ... + 5273002853.

Almost surely, 2^564211299600 is an apocalyptic number.

564211299600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564211299600 is the 751140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564211299600

564211299600 is an abundant number, since it is smaller than the sum of its proper divisors (1657255119663).

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

564211299600 is a wasteful number, since it uses less digits than its factorization.

564211299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 564211299600 in words is "five hundred sixty-four billion, two hundred eleven million, two hundred ninety-nine thousand, six hundred".