3626004133566 has 96 divisors (see below), whose sum is σ = 8549345570688. Its totient is φ = 1106042065920.

The previous prime is 3626004133519. The next prime is 3626004133639. The reversal of 3626004133566 is 6653314006263.

3626004133566 is a `hidden beast` number, since 3 + 6 + 2 + 600 + 4 + 1 + 3 + 35 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15998676 + ... + 16223736.

It is an arithmetic number, because the mean of its divisors is an integer number (89055683028).

Almost surely, 2^{3626004133566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3626004133566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274672785344).

3626004133566 is an abundant number, since it is smaller than the sum of its proper divisors (4923341437122).

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

3626004133566 is a wasteful number, since it uses less digits than its factorization.

3626004133566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226546 (or 226543 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3626004133566 in words is "three trillion, six hundred twenty-six billion, four million, one hundred thirty-three thousand, five hundred sixty-six".