32321312320 has 112 divisors (see below), whose sum is σ = 84137455296. Its totient is φ = 11728640000.

The previous prime is 32321312269. The next prime is 32321312323. The reversal of 32321312320 is 2321312323.

It is a super-4 number, since 4×32321312320⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32321312291 and 32321312300.

It is not an unprimeable number, because it can be changed into a prime (32321312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1718970 + ... + 1737670.

Almost surely, 2^32321312320 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 32321312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068727648).

32321312320 is an abundant number, since it is smaller than the sum of its proper divisors (51816142976).

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

32321312320 is a wasteful number, since it uses less digits than its factorization.

32321312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19220 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 32321312320 its reverse (2321312323), we get a palindrome (34642624643).

It can be divided in two parts, 323213 and 12320, that added together give a palindrome (335533).

The spelling of 32321312320 in words is "thirty-two billion, three hundred twenty-one million, three hundred twelve thousand, three hundred twenty".