323268088320 has 640 divisors, whose sum is σ = 1208465153280. Its totient is φ = 81802690560.

The previous prime is 323268088303. The next prime is 323268088333. The reversal of 323268088320 is 23880862323.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104853499 + ... + 104856581.

It is an arithmetic number, because the mean of its divisors is an integer number (1888226802).

Almost surely, 2^323268088320 is an apocalyptic number.

323268088320 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 323268088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604232576640).

323268088320 is an abundant number, since it is smaller than the sum of its proper divisors (885197064960).

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

323268088320 is a wasteful number, since it uses less digits than its factorization.

323268088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 323268088320 in words is "three hundred twenty-three billion, two hundred sixty-eight million, eighty-eight thousand, three hundred twenty".