66705408017 has 2 divisors, whose sum is σ = 66705408018. Its totient is φ = 66705408016.

The previous prime is 66705407999. The next prime is 66705408071. The reversal of 66705408017 is 71080450766.

66705408017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (66705408071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65393229841 + 1312178176 = 255721^2 + 36224^2 .

It is a cyclic number.

It is not a de Polignac number, because 66705408017 - 2⁸ = 66705407761 is a prime.

It is a super-2 number, since 2×66705408017² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (66705405017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33352704008 + 33352704009.

It is an arithmetic number, because the mean of its divisors is an integer number (33352704009).

Almost surely, 2^66705408017 is an apocalyptic number.

It is an amenable number.

66705408017 is a deficient number, since it is larger than the sum of its proper divisors (1).

66705408017 is an equidigital number, since it uses as much as digits as its factorization.

66705408017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 66705408017 in words is "sixty-six billion, seven hundred five million, four hundred eight thousand, seventeen".