319218964680 has 384 divisors, whose sum is σ = 1201513098240. Its totient is φ = 65914252800.

The previous prime is 319218964643. The next prime is 319218964699. The reversal of 319218964680 is 86469812913.

It is a super-2 number, since 2×319218964680² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 319218964680.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 337083967 + ... + 337084913.

It is an arithmetic number, because the mean of its divisors is an integer number (3128940360).

Almost surely, 2^319218964680 is an apocalyptic number.

319218964680 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 319218964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600756549120).

319218964680 is an abundant number, since it is smaller than the sum of its proper divisors (882294133560).

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

319218964680 is a wasteful number, since it uses less digits than its factorization.

319218964680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 319218964680 in words is "three hundred nineteen billion, two hundred eighteen million, nine hundred sixty-four thousand, six hundred eighty".