320224421984 has 96 divisors (see below), whose sum is σ = 670195814400. Its totient is φ = 150390789120.

The previous prime is 320224421977. The next prime is 320224421987. The reversal of 320224421984 is 489124422023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320224421987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589084 + ... + 4658340.

It is an arithmetic number, because the mean of its divisors is an integer number (6981206400).

Almost surely, 2^320224421984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320224421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335097907200).

320224421984 is an abundant number, since it is smaller than the sum of its proper divisors (349971392416).

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

320224421984 is a wasteful number, since it uses less digits than its factorization.

320224421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69436 (or 69428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 320224421984 in words is "three hundred twenty billion, two hundred twenty-four million, four hundred twenty-one thousand, nine hundred eighty-four".