37640274961 has 2 divisors, whose sum is σ = 37640274962. Its totient is φ = 37640274960.

The previous prime is 37640274949. The next prime is 37640275007. The reversal of 37640274961 is 16947204673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36961985025 + 678289936 = 192255^2 + 26044^2 .

It is a cyclic number.

It is not a de Polignac number, because 37640274961 - 2⁵ = 37640274929 is a prime.

It is not a weakly prime, because it can be changed into another prime (37640274901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18820137480 + 18820137481.

It is an arithmetic number, because the mean of its divisors is an integer number (18820137481).

Almost surely, 2^37640274961 is an apocalyptic number.

It is an amenable number.

37640274961 is a deficient number, since it is larger than the sum of its proper divisors (1).

37640274961 is an equidigital number, since it uses as much as digits as its factorization.

37640274961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 37640274961 in words is "thirty-seven billion, six hundred forty million, two hundred seventy-four thousand, nine hundred sixty-one".