507957488640 has 2112 divisors, whose sum is σ = 2258158694400. Its totient is φ = 107760844800.

The previous prime is 507957488579. The next prime is 507957488651. The reversal of 507957488640 is 46884759705.

507957488640 is a `hidden beast` number, since 5 + 0 + 7 + 95 + 7 + 488 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8609448931 + ... + 8609448989.

Almost surely, 2^507957488640 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 507957488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129079347200).

507957488640 is an abundant number, since it is smaller than the sum of its proper divisors (1750201205760).

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

507957488640 is a wasteful number, since it uses less digits than its factorization.

507957488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 507957488640 in words is "five hundred seven billion, nine hundred fifty-seven million, four hundred eighty-eight thousand, six hundred forty".