564041335824 has 240 divisors, whose sum is σ = 1709133574720. Its totient is φ = 173067632640.

The previous prime is 564041335817. The next prime is 564041335849. The reversal of 564041335824 is 428533140465.

564041335824 is a `hidden beast` number, since 5 + 64 + 0 + 4 + 1 + 3 + 3 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 564041335824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22693644 + ... + 22718484.

Almost surely, 2^564041335824 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 564041335824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854566787360).

564041335824 is an abundant number, since it is smaller than the sum of its proper divisors (1145092238896).

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

564041335824 is a wasteful number, since it uses less digits than its factorization.

564041335824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25110 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 564041335824 in words is "five hundred sixty-four billion, forty-one million, three hundred thirty-five thousand, eight hundred twenty-four".