322875789683328 has 5120 divisors, whose sum is σ = 1312888642560000. Its totient is φ = 78166372515840.

The previous prime is 322875789683299. The next prime is 322875789683371. The reversal of 322875789683328 is 823386987578223.

322875789683328 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 7 + 578 + 9 + 6 + 8 + 3 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3017530744651 + ... + 3017530744757.

It is an arithmetic number, because the mean of its divisors is an integer number (256423563000).

Almost surely, 2^{322875789683328} is an apocalyptic number.

322875789683328 is a gapful number since it is divisible by the number (38) 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 322875789683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656444321280000).

322875789683328 is an abundant number, since it is smaller than the sum of its proper divisors (990012852876672).

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

322875789683328 is a wasteful number, since it uses less digits than its factorization.

322875789683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 322875789683328 in words is "three hundred twenty-two trillion, eight hundred seventy-five billion, seven hundred eighty-nine million, six hundred eighty-three thousand, three hundred twenty-eight".