507864384720 has 1080 divisors, whose sum is σ = 2193837085440. Its totient is φ = 104901350400.

The previous prime is 507864384661. The next prime is 507864384751. The reversal of 507864384720 is 27483468705.

507864384720 is a `hidden beast` number, since 50 + 7 + 86 + 43 + 8 + 472 + 0 = 666.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 1156866261 + ... + 1156866699.

Almost surely, 2^507864384720 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 507864384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096918542720).

507864384720 is an abundant number, since it is smaller than the sum of its proper divisors (1685972700720).

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

507864384720 is a wasteful number, since it uses less digits than its factorization.

507864384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 507864384720 in words is "five hundred seven billion, eight hundred sixty-four million, three hundred eighty-four thousand, seven hundred twenty".