36767312764009 has 2 divisors, whose sum is σ = 36767312764010. Its totient is φ = 36767312764008.

The previous prime is 36767312763977. The next prime is 36767312764031. The reversal of 36767312764009 is 90046721376763.

36767312764009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34391152173609 + 2376160590400 = 5864397^2 + 1541480^2 .

It is a cyclic number.

It is not a de Polignac number, because 36767312764009 - 2⁵ = 36767312763977 is a prime.

It is not a weakly prime, because it can be changed into another prime (36767312764909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18383656382004 + 18383656382005.

It is an arithmetic number, because the mean of its divisors is an integer number (18383656382005).

Almost surely, 2^{36767312764009} is an apocalyptic number.

It is an amenable number.

36767312764009 is a deficient number, since it is larger than the sum of its proper divisors (1).

36767312764009 is an equidigital number, since it uses as much as digits as its factorization.

36767312764009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48009024, while the sum is 61.

The spelling of 36767312764009 in words is "thirty-six trillion, seven hundred sixty-seven billion, three hundred twelve million, seven hundred sixty-four thousand, nine".