507674684160 has 1152 divisors, whose sum is σ = 2125105920000. Its totient is φ = 114709561344.

The previous prime is 507674684147. The next prime is 507674684177. The reversal of 507674684160 is 61486476705.

507674684160 is a `hidden beast` number, since 50 + 76 + 7 + 468 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 507674684097 and 507674684106.

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, 1339510851 + ... + 1339511229.

It is an arithmetic number, because the mean of its divisors is an integer number (1844710000).

Almost surely, 2^507674684160 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 507674684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062552960000).

507674684160 is an abundant number, since it is smaller than the sum of its proper divisors (1617431235840).

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

507674684160 is a wasteful number, since it uses less digits than its factorization.

507674684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 507674684160 in words is "five hundred seven billion, six hundred seventy-four million, six hundred eighty-four thousand, one hundred sixty".