8638228800 has 210 divisors, whose sum is σ = 31752432558. Its totient is φ = 2303493120.

The previous prime is 8638228777. The next prime is 8638228813. The reversal of 8638228800 is 88228368.

8638228800 is a `hidden beast` number, since 8 + 638 + 2 + 2 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118200384 + 8520028416 = 10872^2 + 92304^2 .

It is a super-2 number, since 2×8638228800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 96274 + ... + 162926.

Almost surely, 2^8638228800 is an apocalyptic number.

8638228800 is a gapful number since it is divisible by the number (80) 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 8638228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876216279).

8638228800 is an abundant number, since it is smaller than the sum of its proper divisors (23114203758).

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

8638228800 is a wasteful number, since it uses less digits than its factorization.

8638228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66687 (or 66663 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8638228800 is about 92942.0722816099. The cubic root of 8638228800 is about 2051.8309084018.

The spelling of 8638228800 in words is "eight billion, six hundred thirty-eight million, two hundred twenty-eight thousand, eight hundred".