564959973104640 has 1408 divisors, whose sum is σ = 2185705191628800. Its totient is φ = 137863597916160.

The previous prime is 564959973104623. The next prime is 564959973104677. The reversal of 564959973104640 is 46401379959465.

564959973104640 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 5 + 99 + 73 + 1 + 0 + 464 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 45352805292 + ... + 45352817748.

Almost surely, 2^{564959973104640} 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 564959973104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092852595814400).

564959973104640 is an abundant number, since it is smaller than the sum of its proper divisors (1620745218524160).

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

564959973104640 is a wasteful number, since it uses less digits than its factorization.

564959973104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 13074 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 564959973104640 in words is "five hundred sixty-four trillion, nine hundred fifty-nine billion, nine hundred seventy-three million, one hundred four thousand, six hundred forty".