507680732160 has 1584 divisors, whose sum is σ = 2227823529984. Its totient is φ = 108355387392.

The previous prime is 507680732159. The next prime is 507680732171. The reversal of 507680732160 is 61237086705.

507680732160 is a `hidden beast` number, since 507 + 6 + 80 + 7 + 3 + 2 + 1 + 60 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3997486017 + ... + 3997486143.

Almost surely, 2^507680732160 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 507680732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113911764992).

507680732160 is an abundant number, since it is smaller than the sum of its proper divisors (1720142797824).

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

507680732160 is an equidigital number, since it uses as much as digits as its factorization.

507680732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 507680732160 in words is "five hundred seven billion, six hundred eighty million, seven hundred thirty-two thousand, one hundred sixty".