6737672761 has 2 divisors, whose sum is σ = 6737672762. Its totient is φ = 6737672760.

The previous prime is 6737672677. The next prime is 6737672791. The reversal of 6737672761 is 1672767376.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6587757225 + 149915536 = 81165^2 + 12244^2 .

It is a cyclic number.

It is not a de Polignac number, because 6737672761 - 2¹¹ = 6737670713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6737672699 and 6737672708.

It is not a weakly prime, because it can be changed into another prime (6737672791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3368836380 + 3368836381.

It is an arithmetic number, because the mean of its divisors is an integer number (3368836381).

Almost surely, 2^6737672761 is an apocalyptic number.

It is an amenable number.

6737672761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6737672761 is an equidigital number, since it uses as much as digits as its factorization.

6737672761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3111696, while the sum is 52.

The square root of 6737672761 is about 82083.3281549914. The cubic root of 6737672761 is about 1888.7304035642.

The spelling of 6737672761 in words is "six billion, seven hundred thirty-seven million, six hundred seventy-two thousand, seven hundred sixty-one".