37729726961 has 2 divisors, whose sum is σ = 37729726962. Its totient is φ = 37729726960.

The previous prime is 37729726949. The next prime is 37729727093. The reversal of 37729726961 is 16962792773.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27280798561 + 10448928400 = 165169^2 + 102220^2 .

It is a cyclic number.

It is not a de Polignac number, because 37729726961 - 2²² = 37725532657 is a prime.

It is a super-2 number, since 2×37729726961² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37729726961.

It is not a weakly prime, because it can be changed into another prime (37729726921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18864863480 + 18864863481.

It is an arithmetic number, because the mean of its divisors is an integer number (18864863481).

Almost surely, 2^37729726961 is an apocalyptic number.

It is an amenable number.

37729726961 is a deficient number, since it is larger than the sum of its proper divisors (1).

37729726961 is an equidigital number, since it uses as much as digits as its factorization.

37729726961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12002256, while the sum is 59.

The spelling of 37729726961 in words is "thirty-seven billion, seven hundred twenty-nine million, seven hundred twenty-six thousand, nine hundred sixty-one".