6767159117993 has 2 divisors, whose sum is σ = 6767159117994. Its totient is φ = 6767159117992.

The previous prime is 6767159117863. The next prime is 6767159118007. The reversal of 6767159117993 is 3997119517676.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6181449007504 + 585710110489 = 2486252^2 + 765317^2 .

It is a cyclic number.

It is not a de Polignac number, because 6767159117993 - 2¹⁴ = 6767159101609 is a prime.

It is a super-3 number, since 3×6767159117993³ (a number of 39 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (6767159113993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3383579558996 + 3383579558997.

It is an arithmetic number, because the mean of its divisors is an integer number (3383579558997).

Almost surely, 2^{6767159117993} is an apocalyptic number.

It is an amenable number.

6767159117993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6767159117993 is an equidigital number, since it uses as much as digits as its factorization.

6767159117993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135025380, while the sum is 71.

The spelling of 6767159117993 in words is "six trillion, seven hundred sixty-seven billion, one hundred fifty-nine million, one hundred seventeen thousand, nine hundred ninety-three".