520642896768 has 384 divisors, whose sum is σ = 1548413586720. Its totient is φ = 167859191808.

The previous prime is 520642896731. The next prime is 520642896769. The reversal of 520642896768 is 867698246025.

520642896768 is a `hidden beast` number, since 52 + 0 + 6 + 428 + 96 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520642896769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1474908880 + ... + 1474909232.

Almost surely, 2^520642896768 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 520642896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774206793360).

520642896768 is an abundant number, since it is smaller than the sum of its proper divisors (1027770689952).

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

520642896768 is a wasteful number, since it uses less digits than its factorization.

520642896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 520642896768 in words is "five hundred twenty billion, six hundred forty-two million, eight hundred ninety-six thousand, seven hundred sixty-eight".