6766124216681 has 2 divisors, whose sum is σ = 6766124216682. Its totient is φ = 6766124216680.

The previous prime is 6766124216651. The next prime is 6766124216689. The reversal of 6766124216681 is 1866124216676.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6062847421225 + 703276795456 = 2462285^2 + 838616^2 .

It is a cyclic number.

It is not a de Polignac number, because 6766124216681 - 2¹⁰ = 6766124215657 is a prime.

It is a super-2 number, since 2×6766124216681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6766124216689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3383062108340 + 3383062108341.

It is an arithmetic number, because the mean of its divisors is an integer number (3383062108341).

Almost surely, 2^{6766124216681} is an apocalyptic number.

It is an amenable number.

6766124216681 is a deficient number, since it is larger than the sum of its proper divisors (1).

6766124216681 is an equidigital number, since it uses as much as digits as its factorization.

6766124216681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6967296, while the sum is 56.

The spelling of 6766124216681 in words is "six trillion, seven hundred sixty-six billion, one hundred twenty-four million, two hundred sixteen thousand, six hundred eighty-one".