321160329360 has 480 divisors, whose sum is σ = 1241205245280. Its totient is φ = 73717972992.

The previous prime is 321160329349. The next prime is 321160329361. The reversal of 321160329360 is 63923061123.

It is a happy number.

321160329360 is a `hidden beast` number, since 3 + 2 + 11 + 603 + 2 + 9 + 36 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 80311025664 + 240849303696 = 283392^2 + 490764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (321160329361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17334822 + ... + 17353338.

It is an arithmetic number, because the mean of its divisors is an integer number (2585844261).

Almost surely, 2^321160329360 is an apocalyptic number.

321160329360 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 321160329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620602622640).

321160329360 is an abundant number, since it is smaller than the sum of its proper divisors (920044915920).

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

321160329360 is a wasteful number, since it uses less digits than its factorization.

321160329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 321160329360 in words is "three hundred twenty-one billion, one hundred sixty million, three hundred twenty-nine thousand, three hundred sixty".