6736736673761 has 2 divisors, whose sum is σ = 6736736673762. Its totient is φ = 6736736673760.

The previous prime is 6736736673701. The next prime is 6736736673763. The reversal of 6736736673761 is 1673766376376.

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., 3849051610000 + 2887685063761 = 1961900^2 + 1699319^2 .

It is a cyclic number.

It is not a de Polignac number, because 6736736673761 - 2⁶ = 6736736673697 is a prime.

Together with 6736736673763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 6736736673691 and 6736736673700.

It is not a weakly prime, because it can be changed into another prime (6736736673763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3368368336880 + 3368368336881.

It is an arithmetic number, because the mean of its divisors is an integer number (3368368336881).

Almost surely, 2^{6736736673761} is an apocalyptic number.

It is an amenable number.

6736736673761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6736736673761 is an equidigital number, since it uses as much as digits as its factorization.

6736736673761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504094752, while the sum is 68.

The spelling of 6736736673761 in words is "six trillion, seven hundred thirty-six billion, seven hundred thirty-six million, six hundred seventy-three thousand, seven hundred sixty-one".