640224075024 has 30 divisors (see below), whose sum is σ = 1791738210366. Its totient is φ = 213408024960.

The previous prime is 640224074969. The next prime is 640224075083. The reversal of 640224075024 is 420570422046.

640224075024 is a `hidden beast` number, since 6 + 402 + 240 + 7 + 5 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 332052537600 + 308171537424 = 576240^2 + 555132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 640224075024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2223000117 + ... + 2223000404.

Almost surely, 2^640224075024 is an apocalyptic number.

It is an amenable number.

640224075024 is an abundant number, since it is smaller than the sum of its proper divisors (1151514135342).

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

640224075024 is a wasteful number, since it uses less digits than its factorization.

640224075024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446000535 (or 4446000526 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 640224075024 in words is "six hundred forty billion, two hundred twenty-four million, seventy-five thousand, twenty-four".