75664399346657 has 4 divisors (see below), whose sum is σ = 82542981105456. Its totient is φ = 68785817587860.

The previous prime is 75664399346587. The next prime is 75664399346663.

75664399346657 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 75664399346657 - 2²⁰ = 75664398298081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75664399346857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3439290879383 + ... + 3439290879404.

It is an arithmetic number, because the mean of its divisors is an integer number (20635745276364).

Almost surely, 2^{75664399346657} is an apocalyptic number.

It is an amenable number.

75664399346657 is a deficient number, since it is larger than the sum of its proper divisors (6878581758799).

75664399346657 is a wasteful number, since it uses less digits than its factorization.

75664399346657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878581758798.

The product of its digits is 18517766400, while the sum is 80.

The spelling of 75664399346657 in words is "seventy-five trillion, six hundred sixty-four billion, three hundred ninety-nine million, three hundred forty-six thousand, six hundred fifty-seven".