564230224800 has 864 divisors, whose sum is σ = 2271351124224. Its totient is φ = 130572288000.

The previous prime is 564230224751. The next prime is 564230224871. The reversal of 564230224800 is 8422032465.

564230224800 is a `hidden beast` number, since 5 + 6 + 423 + 0 + 224 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152616552 + ... + 152620248.

It is an arithmetic number, because the mean of its divisors is an integer number (2628878616).

Almost surely, 2^564230224800 is an apocalyptic number.

564230224800 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 564230224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135675562112).

564230224800 is an abundant number, since it is smaller than the sum of its proper divisors (1707120899424).

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

564230224800 is a wasteful number, since it uses less digits than its factorization.

564230224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 564230224800 in words is "five hundred sixty-four billion, two hundred thirty million, two hundred twenty-four thousand, eight hundred".