564665210640 has 400 divisors, whose sum is σ = 2039435204400. Its totient is φ = 144622485504.

The previous prime is 564665210621. The next prime is 564665210653. The reversal of 564665210640 is 46012566465.

564665210640 is a `hidden beast` number, since 5 + 6 + 4 + 66 + 521 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36735088896 + 527930121744 = 191664^2 + 726588^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36260776 + ... + 36276344.

It is an arithmetic number, because the mean of its divisors is an integer number (5098588011).

Almost surely, 2^564665210640 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 564665210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019717602200).

564665210640 is an abundant number, since it is smaller than the sum of its proper divisors (1474769993760).

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

564665210640 is a wasteful number, since it uses less digits than its factorization.

564665210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 564665210640 in words is "five hundred sixty-four billion, six hundred sixty-five million, two hundred ten thousand, six hundred forty".