6735066666217 has 2 divisors, whose sum is σ = 6735066666218. Its totient is φ = 6735066666216.

The previous prime is 6735066666137. The next prime is 6735066666353. The reversal of 6735066666217 is 7126666605376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5153154243136 + 1581912423081 = 2270056^2 + 1257741^2 .

It is a cyclic number.

It is not a de Polignac number, because 6735066666217 - 2¹⁹ = 6735066141929 is a prime.

It is a super-2 number, since 2×6735066666217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6735066666917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3367533333108 + 3367533333109.

It is an arithmetic number, because the mean of its divisors is an integer number (3367533333109).

Almost surely, 2^{6735066666217} is an apocalyptic number.

It is an amenable number.

6735066666217 is a deficient number, since it is larger than the sum of its proper divisors (1).

6735066666217 is an equidigital number, since it uses as much as digits as its factorization.

6735066666217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 61.

The spelling of 6735066666217 in words is "six trillion, seven hundred thirty-five billion, sixty-six million, six hundred sixty-six thousand, two hundred seventeen".