75648884657 has 2 divisors, whose sum is σ = 75648884658. Its totient is φ = 75648884656.

The previous prime is 75648884653. The next prime is 75648884671.

75648884657 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74264970256 + 1383914401 = 272516^2 + 37201^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 75648884657 - 2² = 75648884653 is a prime.

It is not a weakly prime, because it can be changed into another prime (75648884653) 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 as a sum of consecutive naturals, namely, 37824442328 + 37824442329.

It is an arithmetic number, because the mean of its divisors is an integer number (37824442329).

Almost surely, 2^75648884657 is an apocalyptic number.

It is an amenable number.

75648884657 is a deficient number, since it is larger than the sum of its proper divisors (1).

75648884657 is an equidigital number, since it uses as much as digits as its factorization.

75648884657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 361267200, while the sum is 68.

The spelling of 75648884657 in words is "seventy-five billion, six hundred forty-eight million, eight hundred eighty-four thousand, six hundred fifty-seven".