504609688768 has 112 divisors (see below), whose sum is σ = 1060257955680. Its totient is φ = 237618855936.

The previous prime is 504609688757. The next prime is 504609688819. The reversal of 504609688768 is 867886906405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192818596 + ... + 192821212.

It is an arithmetic number, because the mean of its divisors is an integer number (9466588890).

Almost surely, 2^504609688768 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 504609688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530128977840).

504609688768 is an abundant number, since it is smaller than the sum of its proper divisors (555648266912).

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

504609688768 is a wasteful number, since it uses less digits than its factorization.

504609688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 504609688768 in words is "five hundred four billion, six hundred nine million, six hundred eighty-eight thousand, seven hundred sixty-eight".