322868873376 has 288 divisors, whose sum is σ = 1056439238400. Its totient is φ = 91624919040.

The previous prime is 322868873351. The next prime is 322868873387. The reversal of 322868873376 is 673378868223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 351325845 + ... + 351326763.

It is an arithmetic number, because the mean of its divisors is an integer number (3668191800).

Almost surely, 2^322868873376 is an apocalyptic number.

322868873376 is a gapful number since it is divisible by the number (36) 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 322868873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528219619200).

322868873376 is an abundant number, since it is smaller than the sum of its proper divisors (733570365024).

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

322868873376 is a wasteful number, since it uses less digits than its factorization.

322868873376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1921 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 322868873376 in words is "three hundred twenty-two billion, eight hundred sixty-eight million, eight hundred seventy-three thousand, three hundred seventy-six".