319966396672 has 216 divisors, whose sum is σ = 735398201664. Its totient is φ = 138568015872.

The previous prime is 319966396663. The next prime is 319966396723. The reversal of 319966396672 is 276693669913.

It is a junction number, because it is equal to n+sod(n) for n = 319966396598 and 319966396607.

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 23 ways as a sum of consecutive naturals, for example, 52735783 + ... + 52741849.

It is an arithmetic number, because the mean of its divisors is an integer number (3404621304).

Almost surely, 2^319966396672 is an apocalyptic number.

319966396672 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 319966396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367699100832).

319966396672 is an abundant number, since it is smaller than the sum of its proper divisors (415431804992).

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

319966396672 is a wasteful number, since it uses less digits than its factorization.

319966396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6158 counting only the distinct ones).

The product of its digits is 119042784, while the sum is 67.

The spelling of 319966396672 in words is "three hundred nineteen billion, nine hundred sixty-six million, three hundred ninety-six thousand, six hundred seventy-two".