564998228928 has 672 divisors, whose sum is σ = 1973369029632. Its totient is φ = 151190323200.

The previous prime is 564998228909. The next prime is 564998228957. The reversal of 564998228928 is 829822899465.

564998228928 is a `hidden beast` number, since 56 + 499 + 8 + 2 + 2 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433612725 + ... + 433614027.

It is an arithmetic number, because the mean of its divisors is an integer number (2936561056).

Almost surely, 2^564998228928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564998228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986684514816).

564998228928 is an abundant number, since it is smaller than the sum of its proper divisors (1408370800704).

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

564998228928 is a wasteful number, since it uses less digits than its factorization.

564998228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1460 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 564998228928 in words is "five hundred sixty-four billion, nine hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred twenty-eight".