320320323200 has 96 divisors (see below), whose sum is σ = 792196444620. Its totient is φ = 127981568000.

The previous prime is 320320323173. The next prime is 320320323203. The reversal of 320320323200 is 2323023023.

It can be written as a sum of positive squares in 6 ways, for example, as 64065684544 + 256254638656 = 253112^2 + 506216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (320320323203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2762390 + ... + 2876010.

Almost surely, 2^320320323200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320320323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396098222310).

320320323200 is an abundant number, since it is smaller than the sum of its proper divisors (471876121420).

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

320320323200 is a wasteful number, since it uses less digits than its factorization.

320320323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114526 (or 114509 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 320320323200 its reverse (2323023023), we get a palindrome (322643346223).

The spelling of 320320323200 in words is "three hundred twenty billion, three hundred twenty million, three hundred twenty-three thousand, two hundred".