320340096720 has 240 divisors, whose sum is σ = 1230155372160. Its totient is φ = 73181316096.

The previous prime is 320340096701. The next prime is 320340096773. The reversal of 320340096720 is 27690043023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 9958102 + ... + 9990218.

It is an arithmetic number, because the mean of its divisors is an integer number (5125647384).

Almost surely, 2^320340096720 is an apocalyptic number.

320340096720 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 320340096720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615077686080).

320340096720 is an abundant number, since it is smaller than the sum of its proper divisors (909815275440).

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

320340096720 is a wasteful number, since it uses less digits than its factorization.

320340096720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34122 (or 34113 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 320340096720 in words is "three hundred twenty billion, three hundred forty million, ninety-six thousand, seven hundred twenty".