507674962368 has 672 divisors, whose sum is σ = 1772527970304. Its totient is φ = 141063856128.

The previous prime is 507674962337. The next prime is 507674962381. The reversal of 507674962368 is 863269476705.

507674962368 is a `hidden beast` number, since 5 + 0 + 7 + 67 + 496 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1601498146 + ... + 1601498462.

It is an arithmetic number, because the mean of its divisors is an integer number (2637690432).

Almost surely, 2^507674962368 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 507674962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886263985152).

507674962368 is an abundant number, since it is smaller than the sum of its proper divisors (1264853007936).

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

507674962368 is a wasteful number, since it uses less digits than its factorization.

507674962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 507674962368 in words is "five hundred seven billion, six hundred seventy-four million, nine hundred sixty-two thousand, three hundred sixty-eight".