76064956416 has 392 divisors, whose sum is σ = 233788817664. Its totient is φ = 24723947520.

The previous prime is 76064956403. The next prime is 76064956477. The reversal of 76064956416 is 61465946067.

76064956416 is a `hidden beast` number, since 7 + 6 + 0 + 64 + 9 + 564 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 280682361 + ... + 280682631.

Almost surely, 2^76064956416 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 76064956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116894408832).

76064956416 is an abundant number, since it is smaller than the sum of its proper divisors (157723861248).

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

76064956416 is an frugal number, since it uses more digits than its factorization.

76064956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76064956416 in words is "seventy-six billion, sixty-four million, nine hundred fifty-six thousand, four hundred sixteen".