76465704960 has 312 divisors, whose sum is σ = 268827833664. Its totient is φ = 20100218880.

The previous prime is 76465704949. The next prime is 76465704979. The reversal of 76465704960 is 6940756467.

76465704960 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 570 + 4 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76465704897 and 76465704906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083799 + ... + 13089641.

It is an arithmetic number, because the mean of its divisors is an integer number (861627672).

Almost surely, 2^76465704960 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 76465704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134413916832).

76465704960 is an abundant number, since it is smaller than the sum of its proper divisors (192362128704).

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

76465704960 is a wasteful number, since it uses less digits than its factorization.

76465704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 76465704960 in words is "seventy-six billion, four hundred sixty-five million, seven hundred four thousand, nine hundred sixty".