36606208032 has 144 divisors (see below), whose sum is σ = 109769980320. Its totient is φ = 11539584000.

The previous prime is 36606208021. The next prime is 36606208057. The reversal of 36606208032 is 23080260663.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36606208032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3283107 + ... + 3294237.

It is an arithmetic number, because the mean of its divisors is an integer number (762291530).

Almost surely, 2^36606208032 is an apocalyptic number.

36606208032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36606208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54884990160).

36606208032 is an abundant number, since it is smaller than the sum of its proper divisors (73163772288).

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

36606208032 is a wasteful number, since it uses less digits than its factorization.

36606208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 36606208032 its reverse (23080260663), we get a palindrome (59686468695).

The spelling of 36606208032 in words is "thirty-six billion, six hundred six million, two hundred eight thousand, thirty-two".