504079636320 has 384 divisors, whose sum is σ = 1944187660800. Its totient is φ = 121194952704.

The previous prime is 504079636309. The next prime is 504079636337. The reversal of 504079636320 is 23636970405.

504079636320 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 7 + 9 + 6 + 3 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2310511 + ... + 2519249.

It is an arithmetic number, because the mean of its divisors is an integer number (5062988700).

Almost surely, 2^504079636320 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 504079636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972093830400).

504079636320 is an abundant number, since it is smaller than the sum of its proper divisors (1440108024480).

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

504079636320 is a wasteful number, since it uses less digits than its factorization.

504079636320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208819 (or 208805 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 504079636320 in words is "five hundred four billion, seventy-nine million, six hundred thirty-six thousand, three hundred twenty".