67406731968193 has 2 divisors, whose sum is σ = 67406731968194. Its totient is φ = 67406731968192.

The previous prime is 67406731968151. The next prime is 67406731968221. The reversal of 67406731968193 is 39186913760476.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43875627281424 + 23531104686769 = 6623868^2 + 4850887^2 .

It is a cyclic number.

It is not a de Polignac number, because 67406731968193 - 2³³ = 67398142033601 is a prime.

It is not a weakly prime, because it can be changed into another prime (67406731968593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33703365984096 + 33703365984097.

It is an arithmetic number, because the mean of its divisors is an integer number (33703365984097).

Almost surely, 2^{67406731968193} is an apocalyptic number.

It is an amenable number.

67406731968193 is a deficient number, since it is larger than the sum of its proper divisors (1).

67406731968193 is an equidigital number, since it uses as much as digits as its factorization.

67406731968193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246903552, while the sum is 70.

The spelling of 67406731968193 in words is "sixty-seven trillion, four hundred six billion, seven hundred thirty-one million, nine hundred sixty-eight thousand, one hundred ninety-three".