75664255246657 has 64 divisors (see below), whose sum is σ = 100064399086080. Its totient is φ = 55390699929600.

The previous prime is 75664255246637. The next prime is 75664255246661.

75664255246657 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-75664255246657 is a prime.

It is a super-2 number, since 2×75664255246657² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75664255246637) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1818438069 + ... + 1818479677.

It is an arithmetic number, because the mean of its divisors is an integer number (1563506235720).

Almost surely, 2^{75664255246657} is an apocalyptic number.

75664255246657 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75664255246657 is a deficient number, since it is larger than the sum of its proper divisors (24400143839423).

75664255246657 is a wasteful number, since it uses less digits than its factorization.

75664255246657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44122.

The product of its digits is 2540160000, while the sum is 70.

The spelling of 75664255246657 in words is "seventy-five trillion, six hundred sixty-four billion, two hundred fifty-five million, two hundred forty-six thousand, six hundred fifty-seven".