6228468800 has 84 divisors (see below), whose sum is σ = 15352362996. Its totient is φ = 2487091200.

The previous prime is 6228468797. The next prime is 6228468863. The reversal of 6228468800 is 88648226.

It can be written as a sum of positive squares in 6 ways, for example, as 654950464 + 5573518336 = 25592^2 + 74656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1022564 + ... + 1028636.

Almost surely, 2^6228468800 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 6228468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676181498).

6228468800 is an abundant number, since it is smaller than the sum of its proper divisors (9123894196).

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

6228468800 is a wasteful number, since it uses less digits than its factorization.

6228468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 6228468800 is about 78920.6487555697. The cubic root of 6228468800 is about 1839.8980724886.

The spelling of 6228468800 in words is "six billion, two hundred twenty-eight million, four hundred sixty-eight thousand, eight hundred".