76493761763265 has 96 divisors (see below), whose sum is σ = 165327988490496. Its totient is φ = 31785386618880.

The previous prime is 76493761763257. The next prime is 76493761763311. The reversal of 76493761763265 is 56236716739467.

76493761763265 is a `hidden beast` number, since 7 + 6 + 493 + 7 + 6 + 1 + 76 + 3 + 2 + 65 = 666.

It is not a de Polignac number, because 76493761763265 - 2³ = 76493761763257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76493761763193 and 76493761763202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24651189 + ... + 27580221.

It is an arithmetic number, because the mean of its divisors is an integer number (1722166546776).

Almost surely, 2^{76493761763265} is an apocalyptic number.

It is an amenable number.

76493761763265 is an abundant number, since it is smaller than the sum of its proper divisors (88834226727231).

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

76493761763265 is a wasteful number, since it uses less digits than its factorization.

76493761763265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936599 (or 2936596 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 76493761763265 in words is "seventy-six trillion, four hundred ninety-three billion, seven hundred sixty-one million, seven hundred sixty-three thousand, two hundred sixty-five".