75675433457657 has 16 divisors (see below), whose sum is σ = 86905619712000. Its totient is φ = 65170814138640.

The previous prime is 75675433457627. The next prime is 75675433457677.

75675433457657 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75675433457657 - 2¹⁴ = 75675433441273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75675433457627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8414657 + ... + 14904942.

It is an arithmetic number, because the mean of its divisors is an integer number (5431601232000).

Almost surely, 2^{75675433457657} is an apocalyptic number.

It is an amenable number.

75675433457657 is a deficient number, since it is larger than the sum of its proper divisors (11230186254343).

75675433457657 is a wasteful number, since it uses less digits than its factorization.

75675433457657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23335156.

The product of its digits is 7779240000, while the sum is 74.

The spelling of 75675433457657 in words is "seventy-five trillion, six hundred seventy-five billion, four hundred thirty-three million, four hundred fifty-seven thousand, six hundred fifty-seven".