8448572800 has 96 divisors (see below), whose sum is σ = 20906954280. Its totient is φ = 3373547520.

The previous prime is 8448572789. The next prime is 8448572809. The reversal of 8448572800 is 82758448.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448572809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151639 + ... + 2155561.

Almost surely, 2^8448572800 is an apocalyptic number.

8448572800 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 8448572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453477140).

8448572800 is an abundant number, since it is smaller than the sum of its proper divisors (12458381480).

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

8448572800 is a wasteful number, since it uses less digits than its factorization.

8448572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 8448572800 is about 91916.1182818335. The cubic root of 8448572800 is about 2036.7033773368.

The spelling of 8448572800 in words is "eight billion, four hundred forty-eight million, five hundred seventy-two thousand, eight hundred".