36620133102663 has 64 divisors (see below), whose sum is σ = 55195188480000. Its totient is φ = 21401435381760.

The previous prime is 36620133102647. The next prime is 36620133102671.

It is a happy number.

36620133102663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36620133102663 - 2⁴ = 36620133102647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36620133102563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81461970 + ... + 81910272.

It is an arithmetic number, because the mean of its divisors is an integer number (862424820000).

Almost surely, 2^{36620133102663} is an apocalyptic number.

36620133102663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36620133102663 is a deficient number, since it is larger than the sum of its proper divisors (18575055377337).

36620133102663 is a wasteful number, since it uses less digits than its factorization.

36620133102663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448952.

The product of its (nonzero) digits is 419904, while the sum is 42.

It can be divided in two parts, 3662013 and 3102663, that added together give a palindrome (6764676).

The spelling of 36620133102663 in words is "thirty-six trillion, six hundred twenty billion, one hundred thirty-three million, one hundred two thousand, six hundred sixty-three".