36681771678100 has 72 divisors (see below), whose sum is σ = 79875035240000. Its totient is φ = 14621928088320.

The previous prime is 36681771678053. The next prime is 36681771678107. The reversal of 36681771678100 is 187617718663.

36681771678100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36681771678100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36681771678107) 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 in 23 ways as a sum of consecutive naturals, for example, 153349792 + ... + 153588808.

Almost surely, 2^{36681771678100} is an apocalyptic number.

It is an amenable number.

36681771678100 is an abundant number, since it is smaller than the sum of its proper divisors (43193263561900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36681771678100 is a wasteful number, since it uses less digits than its factorization.

36681771678100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244337 (or 244330 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 61.

The spelling of 36681771678100 in words is "thirty-six trillion, six hundred eighty-one billion, seven hundred seventy-one million, six hundred seventy-eight thousand, one hundred".