8448480000 has 270 divisors, whose sum is σ = 30444257844. Its totient is φ = 2252544000.

The previous prime is 8448479993. The next prime is 8448480011. The reversal of 8448480000 is 848448.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1437067 + ... + 1442933.

Almost surely, 2^8448480000 is an apocalyptic number.

8448480000 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 8448480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222128922).

8448480000 is an abundant number, since it is smaller than the sum of its proper divisors (21995777844).

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

8448480000 is an equidigital number, since it uses as much as digits as its factorization.

8448480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8448480000 is about 91915.6134723584. The cubic root of 8448480000 is about 2036.6959201891.

The spelling of 8448480000 in words is "eight billion, four hundred forty-eight million, four hundred eighty thousand".