322534016640 has 768 divisors, whose sum is σ = 1326449779200. Its totient is φ = 74067333120.

The previous prime is 322534016611. The next prime is 322534016657. The reversal of 322534016640 is 46610435223.

322534016640 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 3 + 4 + 0 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 322534016595 and 322534016604.

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 95 ways as a sum of consecutive naturals, for example, 32498719 + ... + 32508641.

It is an arithmetic number, because the mean of its divisors is an integer number (1727148150).

Almost surely, 2^322534016640 is an apocalyptic number.

322534016640 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 322534016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663224889600).

322534016640 is an abundant number, since it is smaller than the sum of its proper divisors (1003915762560).

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

322534016640 is a wasteful number, since it uses less digits than its factorization.

322534016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 322534016640 in words is "three hundred twenty-two billion, five hundred thirty-four million, sixteen thousand, six hundred forty".