507428802432 has 96 divisors (see below), whose sum is σ = 1494137038680. Its totient is φ = 165209361408.

The previous prime is 507428802403. The next prime is 507428802467. The reversal of 507428802432 is 234208824705.

507428802432 is a `hidden beast` number, since 50 + 74 + 28 + 80 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×507428802432² (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5072283 + ... + 5171354.

Almost surely, 2^507428802432 is an apocalyptic number.

It is an amenable number.

507428802432 is an abundant number, since it is smaller than the sum of its proper divisors (986708236248).

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

507428802432 is a wasteful number, since it uses less digits than its factorization.

507428802432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243700 (or 10243685 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 507428802432 in words is "five hundred seven billion, four hundred twenty-eight million, eight hundred two thousand, four hundred thirty-two".