564998694912 has 288 divisors, whose sum is σ = 1689551136000. Its totient is φ = 181707079680.

The previous prime is 564998694901. The next prime is 564998694941. The reversal of 564998694912 is 219496899465.

564998694912 is a `hidden beast` number, since 5 + 6 + 49 + 98 + 6 + 9 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216556264 + ... + 216558872.

It is an arithmetic number, because the mean of its divisors is an integer number (5866497000).

Almost surely, 2^564998694912 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 564998694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844775568000).

564998694912 is an abundant number, since it is smaller than the sum of its proper divisors (1124552441088).

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

564998694912 is a wasteful number, since it uses less digits than its factorization.

564998694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3024 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 564998694912 in words is "five hundred sixty-four billion, nine hundred ninety-eight million, six hundred ninety-four thousand, nine hundred twelve".