36612005166 has 96 divisors (see below), whose sum is σ = 88158036096. Its totient is φ = 10887624000.

The previous prime is 36612005149. The next prime is 36612005167. The reversal of 36612005166 is 66150021663.

36612005166 is a `hidden beast` number, since 36 + 612 + 0 + 0 + 5 + 1 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36612005166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36612005167) 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 47 ways as a sum of consecutive naturals, for example, 5637181 + ... + 5643671.

It is an arithmetic number, because the mean of its divisors is an integer number (918312876).

Almost surely, 2^36612005166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36612005166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44079018048).

36612005166 is an abundant number, since it is smaller than the sum of its proper divisors (51546030930).

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

36612005166 is a wasteful number, since it uses less digits than its factorization.

36612005166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36612005166 in words is "thirty-six billion, six hundred twelve million, five thousand, one hundred sixty-six".