36936616807729 has 2 divisors, whose sum is σ = 36936616807730. Its totient is φ = 36936616807728.

The previous prime is 36936616807679. The next prime is 36936616807747. The reversal of 36936616807729 is 92770861663963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22962305610000 + 13974311197729 = 4791900^2 + 3738223^2 .

It is a cyclic number.

It is not a de Polignac number, because 36936616807729 - 2²¹ = 36936614710577 is a prime.

It is a super-2 number, since 2×36936616807729² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36936616807229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18468308403864 + 18468308403865.

It is an arithmetic number, because the mean of its divisors is an integer number (18468308403865).

Almost surely, 2^{36936616807729} is an apocalyptic number.

It is an amenable number.

36936616807729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36936616807729 is an equidigital number, since it uses as much as digits as its factorization.

36936616807729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 740710656, while the sum is 73.

The spelling of 36936616807729 in words is "thirty-six trillion, nine hundred thirty-six billion, six hundred sixteen million, eight hundred seven thousand, seven hundred twenty-nine".