8448832000 has 160 divisors (see below), whose sum is σ = 24078637440. Its totient is φ = 2896588800.

The previous prime is 8448831961. The next prime is 8448832003. The reversal of 8448832000 is 2388448.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (8448832003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438571 + ... + 457429.

It is an arithmetic number, because the mean of its divisors is an integer number (150491484).

Almost surely, 2^8448832000 is an apocalyptic number.

8448832000 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 8448832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039318720).

8448832000 is an abundant number, since it is smaller than the sum of its proper divisors (15629805440).

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

8448832000 is an equidigital number, since it uses as much as digits as its factorization.

8448832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 8448832000 is about 91917.5282522327. The cubic root of 8448832000 is about 2036.7242056325.

The spelling of 8448832000 in words is "eight billion, four hundred forty-eight million, eight hundred thirty-two thousand".