319073863680 has 1728 divisors, whose sum is σ = 1370284231680. Its totient is φ = 68124672000.

The previous prime is 319073863643. The next prime is 319073863721. The reversal of 319073863680 is 86368370913.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4493998045 + ... + 4493998115.

It is an arithmetic number, because the mean of its divisors is an integer number (792988560).

Almost surely, 2^319073863680 is an apocalyptic number.

319073863680 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 319073863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685142115840).

319073863680 is an abundant number, since it is smaller than the sum of its proper divisors (1051210368000).

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

319073863680 is a wasteful number, since it uses less digits than its factorization.

319073863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 319073863680 in words is "three hundred nineteen billion, seventy-three million, eight hundred sixty-three thousand, six hundred eighty".