322145672720 has 80 divisors (see below), whose sum is σ = 764521156800. Its totient is φ = 126194944512.

The previous prime is 322145672713. The next prime is 322145672729. The reversal of 322145672720 is 27276541223.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (322145672729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249831 + ... + 2388729.

It is an arithmetic number, because the mean of its divisors is an integer number (9556514460).

Almost surely, 2^322145672720 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 322145672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382260578400).

322145672720 is an abundant number, since it is smaller than the sum of its proper divisors (442375484080).

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

322145672720 is a wasteful number, since it uses less digits than its factorization.

322145672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139512 (or 139506 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 322145672720 in words is "three hundred twenty-two billion, one hundred forty-five million, six hundred seventy-two thousand, seven hundred twenty".