6628174006600 has 96 divisors (see below), whose sum is σ = 15649672542120. Its totient is φ = 2610252933120.

The previous prime is 6628174006579. The next prime is 6628174006621. The reversal of 6628174006600 is 66004718266.

It is an interprime number because it is at equal distance from previous prime (6628174006579) and next prime (6628174006621).

It can be written as a sum of positive squares in 12 ways, for example, as 703749854404 + 5924424152196 = 838898^2 + 2434014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7724674 + ... + 8539726.

Almost surely, 2^{6628174006600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628174006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824836271060).

6628174006600 is an abundant number, since it is smaller than the sum of its proper divisors (9021498535520).

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

6628174006600 is a wasteful number, since it uses less digits than its factorization.

6628174006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815699 (or 815690 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 6628174006600 in words is "six trillion, six hundred twenty-eight billion, one hundred seventy-four million, six thousand, six hundred".