564370624080 has 120 divisors (see below), whose sum is σ = 1895480732808. Its totient is φ = 150488030208.

The previous prime is 564370624009. The next prime is 564370624109. The reversal of 564370624080 is 80426073465.

564370624080 is a `hidden beast` number, since 564 + 3 + 7 + 0 + 6 + 2 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3866849856 + 560503774224 = 62184^2 + 748668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18253114 + ... + 18284006.

Almost surely, 2^564370624080 is an apocalyptic number.

It is an amenable number.

564370624080 is an abundant number, since it is smaller than the sum of its proper divisors (1331110108728).

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

564370624080 is a wasteful number, since it uses less digits than its factorization.

564370624080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56285 (or 56276 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 564370624080 in words is "five hundred sixty-four billion, three hundred seventy million, six hundred twenty-four thousand, eighty".