507691451904 has 640 divisors, whose sum is σ = 1730409246720. Its totient is φ = 128697237504.

The previous prime is 507691451873. The next prime is 507691451929. The reversal of 507691451904 is 409154196705.

It is a happy number.

It is a super-2 number, since 2×507691451904² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460281817 + ... + 460282919.

It is an arithmetic number, because the mean of its divisors is an integer number (2703764448).

Almost surely, 2^507691451904 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 507691451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865204623360).

507691451904 is an abundant number, since it is smaller than the sum of its proper divisors (1222717794816).

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

507691451904 is a wasteful number, since it uses less digits than its factorization.

507691451904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 507691451904 in words is "five hundred seven billion, six hundred ninety-one million, four hundred fifty-one thousand, nine hundred four".