67405564267201 has 2 divisors, whose sum is σ = 67405564267202. Its totient is φ = 67405564267200.

The previous prime is 67405564267157. The next prime is 67405564267229. The reversal of 67405564267201 is 10276246550476.

67405564267201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55249191680400 + 12156372586801 = 7432980^2 + 3486599^2 .

It is a cyclic number.

It is not a de Polignac number, because 67405564267201 - 2²³ = 67405555878593 is a prime.

It is not a weakly prime, because it can be changed into another prime (67405564267501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33702782133600 + 33702782133601.

It is an arithmetic number, because the mean of its divisors is an integer number (33702782133601).

Almost surely, 2^{67405564267201} is an apocalyptic number.

It is an amenable number.

67405564267201 is a deficient number, since it is larger than the sum of its proper divisors (1).

67405564267201 is an equidigital number, since it uses as much as digits as its factorization.

67405564267201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16934400, while the sum is 55.

The spelling of 67405564267201 in words is "sixty-seven trillion, four hundred five billion, five hundred sixty-four million, two hundred sixty-seven thousand, two hundred one".