6668221644100 has 81 divisors (see below), whose sum is σ = 15272829033021. Its totient is φ = 2526719119200.

The previous prime is 6668221644083. The next prime is 6668221644137. The reversal of 6668221644100 is 14461228666.

The square root of 6668221644100 is 2582290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2400559791876 + 4267661852224 = 1549374^2 + 2065832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 490628305 + ... + 490641895.

Almost surely, 2^{6668221644100} is an apocalyptic number.

6668221644100 is the 2582290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6668221644100

6668221644100 is an abundant number, since it is smaller than the sum of its proper divisors (8604607388921).

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

6668221644100 is an equidigital number, since it uses as much as digits as its factorization.

6668221644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27234 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 6668221644100 in words is "six trillion, six hundred sixty-eight billion, two hundred twenty-one million, six hundred forty-four thousand, one hundred".