36672717326177 has 2 divisors, whose sum is σ = 36672717326178. Its totient is φ = 36672717326176.

The previous prime is 36672717326171. The next prime is 36672717326197. The reversal of 36672717326177 is 77162371727663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36069921918976 + 602795407201 = 6005824^2 + 776399^2 .

It is an emirp because it is prime and its reverse (77162371727663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36672717326177 - 2¹⁸ = 36672717064033 is a prime.

It is not a weakly prime, because it can be changed into another prime (36672717326171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18336358663088 + 18336358663089.

It is an arithmetic number, because the mean of its divisors is an integer number (18336358663089).

Almost surely, 2^{36672717326177} is an apocalyptic number.

It is an amenable number.

36672717326177 is a deficient number, since it is larger than the sum of its proper divisors (1).

36672717326177 is an equidigital number, since it uses as much as digits as its factorization.

36672717326177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 130691232, while the sum is 65.

The spelling of 36672717326177 in words is "thirty-six trillion, six hundred seventy-two billion, seven hundred seventeen million, three hundred twenty-six thousand, one hundred seventy-seven".