504066904320 has 864 divisors, whose sum is σ = 1954202664960. Its totient is φ = 110284554240.

The previous prime is 504066904301. The next prime is 504066904331. The reversal of 504066904320 is 23409660405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600794461 + ... + 600795299.

It is an arithmetic number, because the mean of its divisors is an integer number (2261808640).

Almost surely, 2^504066904320 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 504066904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977101332480).

504066904320 is an abundant number, since it is smaller than the sum of its proper divisors (1450135760640).

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

504066904320 is a wasteful number, since it uses less digits than its factorization.

504066904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 504066904320 in words is "five hundred four billion, sixty-six million, nine hundred four thousand, three hundred twenty".