36786966968763 has 72 divisors (see below), whose sum is σ = 59310029220624. Its totient is φ = 21950585838720.

The previous prime is 36786966968743. The next prime is 36786966968767.

It is a happy number.

36786966968763 is a `hidden beast` number, since 367 + 8 + 6 + 96 + 6 + 96 + 8 + 76 + 3 = 666.

36786966968763 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36786966968763 - 2²⁵ = 36786933414331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36786966968767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136817245 + ... + 137085857.

It is an arithmetic number, because the mean of its divisors is an integer number (823750405842).

Almost surely, 2^{36786966968763} is an apocalyptic number.

36786966968763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36786966968763 is a deficient number, since it is larger than the sum of its proper divisors (22523062251861).

36786966968763 is a wasteful number, since it uses less digits than its factorization.

36786966968763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270585 (or 270571 counting only the distinct ones).

The product of its digits is 106662334464, while the sum is 90.

The spelling of 36786966968763 in words is "thirty-six trillion, seven hundred eighty-six billion, nine hundred sixty-six million, nine hundred sixty-eight thousand, seven hundred sixty-three".