504344608768 has 480 divisors, whose sum is σ = 1399419806400. Its totient is φ = 175531622400.

The previous prime is 504344608763. The next prime is 504344608769. The reversal of 504344608768 is 867806443405.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (504344608763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16269180913 + ... + 16269180943.

It is an arithmetic number, because the mean of its divisors is an integer number (2915457930).

Almost surely, 2^504344608768 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 504344608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699709903200).

504344608768 is an abundant number, since it is smaller than the sum of its proper divisors (895075197632).

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

504344608768 is an frugal number, since it uses more digits than its factorization.

504344608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 504344608768 in words is "five hundred four billion, three hundred forty-four million, six hundred eight thousand, seven hundred sixty-eight".