75691819657 has 16 divisors (see below), whose sum is σ = 78012785664. Its totient is φ = 73415160000.

The previous prime is 75691819649. The next prime is 75691819661.

75691819657 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75691819657 - 2³ = 75691819649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75691819607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1092232 + ... + 1159462.

It is an arithmetic number, because the mean of its divisors is an integer number (4875799104).

Almost surely, 2^75691819657 is an apocalyptic number.

It is an amenable number.

75691819657 is a deficient number, since it is larger than the sum of its proper divisors (2320966007).

75691819657 is a wasteful number, since it uses less digits than its factorization.

75691819657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67560.

The product of its digits is 28576800, while the sum is 64.

The spelling of 75691819657 in words is "seventy-five billion, six hundred ninety-one million, eight hundred nineteen thousand, six hundred fifty-seven".