75716149044768 has 96 divisors (see below), whose sum is σ = 199513632923136. Its totient is φ = 25142468302848.

The previous prime is 75716149044719. The next prime is 75716149044787. The reversal of 75716149044768 is 86744094161757.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47686321 + ... + 49248527.

It is an arithmetic number, because the mean of its divisors is an integer number (2078267009616).

Almost surely, 2^{75716149044768} is an apocalyptic number.

It is an amenable number.

75716149044768 is an abundant number, since it is smaller than the sum of its proper divisors (123797483878368).

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

75716149044768 is a wasteful number, since it uses less digits than its factorization.

75716149044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564146 (or 1564138 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 75716149044768 in words is "seventy-five trillion, seven hundred sixteen billion, one hundred forty-nine million, forty-four thousand, seven hundred sixty-eight".