504627330240 has 448 divisors, whose sum is σ = 1966056560640. Its totient is φ = 122332032000.

The previous prime is 504627330239. The next prime is 504627330283. The reversal of 504627330240 is 42033726405.

504627330240 is a `hidden beast` number, since 5 + 0 + 4 + 627 + 3 + 3 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504627330195 and 504627330204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7665465 + ... + 7731015.

Almost surely, 2^504627330240 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 504627330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983028280320).

504627330240 is an abundant number, since it is smaller than the sum of its proper divisors (1461429230400).

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

504627330240 is an equidigital number, since it uses as much as digits as its factorization.

504627330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65600 (or 65572 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 504627330240 in words is "five hundred four billion, six hundred twenty-seven million, three hundred thirty thousand, two hundred forty".