320022013320 has 256 divisors, whose sum is σ = 1084953600000. Its totient is φ = 83887550208.

The previous prime is 320022013313. The next prime is 320022013369. The reversal of 320022013320 is 23310220023.

It is a happy number.

320022013320 is a `hidden beast` number, since 320 + 0 + 2 + 20 + 1 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320022013293 and 320022013302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36103209 + ... + 36112071.

It is an arithmetic number, because the mean of its divisors is an integer number (4238100000).

Almost surely, 2^320022013320 is an apocalyptic number.

320022013320 is a gapful number since it is divisible by the number (30) 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 320022013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542476800000).

320022013320 is an abundant number, since it is smaller than the sum of its proper divisors (764931586680).

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

320022013320 is a wasteful number, since it uses less digits than its factorization.

320022013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320022013320 its reverse (23310220023), we get a palindrome (343332233343).

The spelling of 320022013320 in words is "three hundred twenty billion, twenty-two million, thirteen thousand, three hundred twenty".