76191510816 has 192 divisors, whose sum is σ = 227832998400. Its totient is φ = 25073867520.

The previous prime is 76191510803. The next prime is 76191510869. The reversal of 76191510816 is 61801519167.

76191510816 is a `hidden beast` number, since 7 + 619 + 1 + 5 + 10 + 8 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5521846 + ... + 5535626.

It is an arithmetic number, because the mean of its divisors is an integer number (1186630200).

Almost surely, 2^76191510816 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 76191510816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113916499200).

76191510816 is an abundant number, since it is smaller than the sum of its proper divisors (151641487584).

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

76191510816 is an equidigital number, since it uses as much as digits as its factorization.

76191510816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13891 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 76191510816 in words is "seventy-six billion, one hundred ninety-one million, five hundred ten thousand, eight hundred sixteen".