507230972640 has 768 divisors, whose sum is σ = 2105671680000. Its totient is φ = 111593687040.

The previous prime is 507230972621. The next prime is 507230972723. The reversal of 507230972640 is 46279032705.

507230972640 is a `hidden beast` number, since 507 + 2 + 30 + 9 + 72 + 6 + 40 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186549201 + ... + 186551919.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760000).

Almost surely, 2^507230972640 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 507230972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052835840000).

507230972640 is an abundant number, since it is smaller than the sum of its proper divisors (1598440707360).

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

507230972640 is a wasteful number, since it uses less digits than its factorization.

507230972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 507230972640 in words is "five hundred seven billion, two hundred thirty million, nine hundred seventy-two thousand, six hundred forty".