73675657637 has 2 divisors, whose sum is σ = 73675657638. Its totient is φ = 73675657636.

The previous prime is 73675657613. The next prime is 73675657661.

73675657637 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (73675657613) and next prime (73675657661).

It can be written as a sum of positive squares in only one way, i.e., 72640491361 + 1035166276 = 269519^2 + 32174^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 73675657637 - 2²⁶ = 73608548773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73675657637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73675657837) 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 as a sum of consecutive naturals, namely, 36837828818 + 36837828819.

It is an arithmetic number, because the mean of its divisors is an integer number (36837828819).

Almost surely, 2^73675657637 is an apocalyptic number.

It is an amenable number.

73675657637 is a deficient number, since it is larger than the sum of its proper divisors (1).

73675657637 is an equidigital number, since it uses as much as digits as its factorization.

73675657637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 116688600, while the sum is 62.

The spelling of 73675657637 in words is "seventy-three billion, six hundred seventy-five million, six hundred fifty-seven thousand, six hundred thirty-seven".