9444322800 has 360 divisors, whose sum is σ = 37859786640. Its totient is φ = 2154700800.

The previous prime is 9444322751. The next prime is 9444322829. The reversal of 9444322800 is 82234449.

It is a tau number, because it is divible by the number of its divisors (360).

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 a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 666186 + ... + 680214.

It is an arithmetic number, because the mean of its divisors is an integer number (105166074).

Almost surely, 2^9444322800 is an apocalyptic number.

9444322800 is a gapful number since it is divisible by the number (90) 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 9444322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929893320).

9444322800 is an abundant number, since it is smaller than the sum of its proper divisors (28415463840).

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

9444322800 is a wasteful number, since it uses less digits than its factorization.

9444322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 9444322800 is about 97181.9057232364. The cubic root of 9444322800 is about 2113.7661599477.

The spelling of 9444322800 in words is "nine billion, four hundred forty-four million, three hundred twenty-two thousand, eight hundred".