319380982272 has 720 divisors, whose sum is σ = 1079500470048. Its totient is φ = 90094878720.

The previous prime is 319380982259. The next prime is 319380982273. The reversal of 319380982272 is 272289083913.

319380982272 is a `hidden beast` number, since 31 + 9 + 380 + 9 + 8 + 227 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (319380982273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1152999798 + ... + 1153000074.

Almost surely, 2^319380982272 is an apocalyptic number.

319380982272 is a gapful number since it is divisible by the number (32) 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 319380982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539750235024).

319380982272 is an abundant number, since it is smaller than the sum of its proper divisors (760119487776).

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

319380982272 is a wasteful number, since it uses less digits than its factorization.

319380982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 319380982272 in words is "three hundred nineteen billion, three hundred eighty million, nine hundred eighty-two thousand, two hundred seventy-two".