75634243657 has 32 divisors (see below), whose sum is σ = 90365932800. Its totient is φ = 63243492480.

The previous prime is 75634243651. The next prime is 75634243679.

75634243657 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-75634243657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75634243651) 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 31 ways as a sum of consecutive naturals, for example, 14053107 + ... + 14058487.

It is an arithmetic number, because the mean of its divisors is an integer number (2823935400).

Almost surely, 2^75634243657 is an apocalyptic number.

It is an amenable number.

75634243657 is a deficient number, since it is larger than the sum of its proper divisors (14731689143).

75634243657 is an equidigital number, since it uses as much as digits as its factorization.

75634243657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6384 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 52.

The spelling of 75634243657 in words is "seventy-five billion, six hundred thirty-four million, two hundred forty-three thousand, six hundred fifty-seven".