564413227200 has 336 divisors, whose sum is σ = 2058742969120. Its totient is φ = 150418944000.

The previous prime is 564413227199. The next prime is 564413227201. The reversal of 564413227200 is 2722314465.

564413227200 is a `hidden beast` number, since 5 + 6 + 441 + 3 + 2 + 2 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (564413227199) and next prime (564413227201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564413227201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101128410 + ... + 101133990.

Almost surely, 2^564413227200 is an apocalyptic number.

564413227200 is a gapful number since it is divisible by the number (50) 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 564413227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029371484560).

564413227200 is an abundant number, since it is smaller than the sum of its proper divisors (1494329741920).

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

564413227200 is a wasteful number, since it uses less digits than its factorization.

564413227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 564413227200 in words is "five hundred sixty-four billion, four hundred thirteen million, two hundred twenty-seven thousand, two hundred".