6837643612897 has 2 divisors, whose sum is σ = 6837643612898. Its totient is φ = 6837643612896.

The previous prime is 6837643612741. The next prime is 6837643612903. The reversal of 6837643612897 is 7982163467386.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5954361304336 + 883282308561 = 2440156^2 + 939831^2 .

It is a cyclic number.

It is not a de Polignac number, because 6837643612897 - 2¹⁵ = 6837643580129 is a prime.

It is a super-2 number, since 2×6837643612897² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6837643682897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3418821806448 + 3418821806449.

It is an arithmetic number, because the mean of its divisors is an integer number (3418821806449).

Almost surely, 2^{6837643612897} is an apocalyptic number.

It is an amenable number.

6837643612897 is a deficient number, since it is larger than the sum of its proper divisors (1).

6837643612897 is an equidigital number, since it uses as much as digits as its factorization.

6837643612897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 438939648, while the sum is 70.

The spelling of 6837643612897 in words is "six trillion, eight hundred thirty-seven billion, six hundred forty-three million, six hundred twelve thousand, eight hundred ninety-seven".