512007457680 has 240 divisors, whose sum is σ = 1748857690944. Its totient is φ = 134206571520.

The previous prime is 512007457679. The next prime is 512007457691. The reversal of 512007457680 is 86754700215.

512007457680 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 0 + 74 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 87266107 + ... + 87271973.

Almost surely, 2^512007457680 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 512007457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874428845472).

512007457680 is an abundant number, since it is smaller than the sum of its proper divisors (1236850233264).

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

512007457680 is a wasteful number, since it uses less digits than its factorization.

512007457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 512007457680 in words is "five hundred twelve billion, seven million, four hundred fifty-seven thousand, six hundred eighty".