6628800192 has 224 divisors, whose sum is σ = 21406420992. Its totient is φ = 1769112576.

The previous prime is 6628800187. The next prime is 6628800221. The reversal of 6628800192 is 2910088266.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1326723 + ... + 1331709.

Almost surely, 2^6628800192 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 6628800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703210496).

6628800192 is an abundant number, since it is smaller than the sum of its proper divisors (14777620800).

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

6628800192 is a wasteful number, since it uses less digits than its factorization.

6628800192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6628800192 is about 81417.4440276775. Note that the first 3 decimals coincide. The cubic root of 6628800192 is about 1878.5019180809.

The spelling of 6628800192 in words is "six billion, six hundred twenty-eight million, eight hundred thousand, one hundred ninety-two".