766479458160 has 400 divisors, whose sum is σ = 2871743634144. Its totient is φ = 188351391744.

The previous prime is 766479458153. The next prime is 766479458177. The reversal of 766479458160 is 61854974667.

It is a happy number.

766479458160 is a `hidden beast` number, since 7 + 6 + 6 + 47 + 9 + 4 + 581 + 6 + 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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51631699 + ... + 51646541.

Almost surely, 2^766479458160 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 766479458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435871817072).

766479458160 is an abundant number, since it is smaller than the sum of its proper divisors (2105264175984).

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

766479458160 is a wasteful number, since it uses less digits than its factorization.

766479458160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 766479458160 in words is "seven hundred sixty-six billion, four hundred seventy-nine million, four hundred fifty-eight thousand, one hundred sixty".