760145568768 has 352 divisors, whose sum is σ = 2280337038720. Its totient is φ = 250120765440.

The previous prime is 760145568739. The next prime is 760145568779. The reversal of 760145568768 is 867865541067.

760145568768 is a `hidden beast` number, since 7 + 6 + 0 + 1 + 4 + 5 + 568 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459012348 + ... + 1459012868.

Almost surely, 2^760145568768 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 760145568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140168519360).

760145568768 is an abundant number, since it is smaller than the sum of its proper divisors (1520191469952).

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

760145568768 is a wasteful number, since it uses less digits than its factorization.

760145568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 760145568768 in words is "seven hundred sixty billion, one hundred forty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".