319328920064 has 480 divisors, whose sum is σ = 833867825472. Its totient is φ = 121772851200.

The previous prime is 319328920051. The next prime is 319328920109. The reversal of 319328920064 is 460029823913.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2437625279 + ... + 2437625409.

Almost surely, 2^319328920064 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 319328920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416933912736).

319328920064 is an abundant number, since it is smaller than the sum of its proper divisors (514538905408).

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

319328920064 is an equidigital number, since it uses as much as digits as its factorization.

319328920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 319328920064 in words is "three hundred nineteen billion, three hundred twenty-eight million, nine hundred twenty thousand, sixty-four".