8224128000 has 792 divisors, whose sum is σ = 33127501680. Its totient is φ = 1959936000.

The previous prime is 8224127987. The next prime is 8224128007. The reversal of 8224128000 is 8214228.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224128007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139391971 + ... + 139392029.

Almost surely, 2^8224128000 is an apocalyptic number.

8224128000 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 8224128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563750840).

8224128000 is an abundant number, since it is smaller than the sum of its proper divisors (24903373680).

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

8224128000 is a wasteful number, since it uses less digits than its factorization.

8224128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8224128000 is about 90686.9781170373. The cubic root of 8224128000 is about 2018.5055770300.

The spelling of 8224128000 in words is "eight billion, two hundred twenty-four million, one hundred twenty-eight thousand".