768463516080 has 960 divisors, whose sum is σ = 3109192998912. Its totient is φ = 168236974080.

The previous prime is 768463516031. The next prime is 768463516189. The reversal of 768463516080 is 80615364867.

768463516080 is a `hidden beast` number, since 7 + 6 + 8 + 46 + 3 + 516 + 0 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212105149 + ... + 212108771.

Almost surely, 2^768463516080 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 768463516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554596499456).

768463516080 is an abundant number, since it is smaller than the sum of its proper divisors (2340729482832).

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

768463516080 is a wasteful number, since it uses less digits than its factorization.

768463516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 768463516080 in words is "seven hundred sixty-eight billion, four hundred sixty-three million, five hundred sixteen thousand, eighty".