504481764480 has 512 divisors, whose sum is σ = 1741127270400. Its totient is φ = 123916615680.

The previous prime is 504481764473. The next prime is 504481764491. The reversal of 504481764480 is 84467184405.

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 63 ways as a sum of consecutive naturals, for example, 143032477 + ... + 143036003.

It is an arithmetic number, because the mean of its divisors is an integer number (3400639200).

Almost surely, 2^504481764480 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 504481764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870563635200).

504481764480 is an abundant number, since it is smaller than the sum of its proper divisors (1236645505920).

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

504481764480 is a wasteful number, since it uses less digits than its factorization.

504481764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 504481764480 in words is "five hundred four billion, four hundred eighty-one million, seven hundred sixty-four thousand, four hundred eighty".