504340640856 has 192 divisors, whose sum is σ = 1487873106720. Its totient is φ = 153408245760.

The previous prime is 504340640801. The next prime is 504340640887. The reversal of 504340640856 is 658046043405.

504340640856 is a `hidden beast` number, since 504 + 3 + 4 + 0 + 64 + 0 + 85 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41983891 + ... + 41995901.

Almost surely, 2^504340640856 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 504340640856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743936553360).

504340640856 is an abundant number, since it is smaller than the sum of its proper divisors (983532465864).

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

504340640856 is a wasteful number, since it uses less digits than its factorization.

504340640856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 504340640856 in words is "five hundred four billion, three hundred forty million, six hundred forty thousand, eight hundred fifty-six".