3206607664896 has 288 divisors, whose sum is σ = 10132450574400. Its totient is φ = 996761272320.

The previous prime is 3206607664837. The next prime is 3206607664901. The reversal of 3206607664896 is 6984667066023.

3206607664896 is a `hidden beast` number, since 3 + 20 + 6 + 60 + 76 + 6 + 489 + 6 = 666.

3206607664896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12682756 + ... + 12933116.

It is an arithmetic number, because the mean of its divisors is an integer number (35182120050).

Almost surely, 2^{3206607664896} is an apocalyptic number.

3206607664896 is a gapful number since it is divisible by the number (36) 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 3206607664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066225287200).

3206607664896 is an abundant number, since it is smaller than the sum of its proper divisors (6925842909504).

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

3206607664896 is a wasteful number, since it uses less digits than its factorization.

3206607664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250512 (or 250492 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3206607664896 in words is "three trillion, two hundred six billion, six hundred seven million, six hundred sixty-four thousand, eight hundred ninety-six".