36672550355106 has 96 divisors (see below), whose sum is σ = 86853474160128. Its totient is φ = 11132901480960.

The previous prime is 36672550355081. The next prime is 36672550355153. The reversal of 36672550355106 is 60155305527663.

It is a happy number.

36672550355106 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 2 + 550 + 35 + 51 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100492785 + ... + 100857051.

It is an arithmetic number, because the mean of its divisors is an integer number (904723689168).

Almost surely, 2^{36672550355106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36672550355106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426737080064).

36672550355106 is an abundant number, since it is smaller than the sum of its proper divisors (50180923805022).

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

36672550355106 is a wasteful number, since it uses less digits than its factorization.

36672550355106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374936 (or 374933 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 36672550355106 in words is "thirty-six trillion, six hundred seventy-two billion, five hundred fifty million, three hundred fifty-five thousand, one hundred six".