66584792033 has 2 divisors, whose sum is σ = 66584792034. Its totient is φ = 66584792032.

The previous prime is 66584791967. The next prime is 66584792039. The reversal of 66584792033 is 33029748566.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65888729344 + 696062689 = 256688^2 + 26383^2 .

It is a cyclic number.

It is not a de Polignac number, because 66584792033 - 2¹⁸ = 66584529889 is a prime.

It is not a weakly prime, because it can be changed into another prime (66584792039) 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, 33292396016 + 33292396017.

It is an arithmetic number, because the mean of its divisors is an integer number (33292396017).

Almost surely, 2^66584792033 is an apocalyptic number.

It is an amenable number.

66584792033 is a deficient number, since it is larger than the sum of its proper divisors (1).

66584792033 is an equidigital number, since it uses as much as digits as its factorization.

66584792033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 66584792033 in words is "sixty-six billion, five hundred eighty-four million, seven hundred ninety-two thousand, thirty-three".