8229964800 has 264 divisors, whose sum is σ = 27495664272. Its totient is φ = 2170880000.

The previous prime is 8229964763. The next prime is 8229964801. The reversal of 8229964800 is 84699228.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8229964800.

It is not an unprimeable number, because it can be changed into a prime (8229964801) 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 23 ways as a sum of consecutive naturals, for example, 7756270 + ... + 7757330.

Almost surely, 2^8229964800 is an apocalyptic number.

8229964800 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 8229964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747832136).

8229964800 is an abundant number, since it is smaller than the sum of its proper divisors (19265699472).

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

8229964800 is a wasteful number, since it uses less digits than its factorization.

8229964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 8229964800 is about 90719.1534352035. The cubic root of 8229964800 is about 2018.9829863978.

The spelling of 8229964800 in words is "eight billion, two hundred twenty-nine million, nine hundred sixty-four thousand, eight hundred".