324289472832 has 448 divisors, whose sum is σ = 1041824931840. Its totient is φ = 98322481152.

The previous prime is 324289472803. The next prime is 324289472833. The reversal of 324289472832 is 238274982423.

324289472832 is a `hidden beast` number, since 3 + 242 + 89 + 47 + 283 + 2 = 666.

It is a super-2 number, since 2×324289472832² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324289472833) by changing a digit.

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, 562026528 + ... + 562027104.

It is an arithmetic number, because the mean of its divisors is an integer number (2325502080).

Almost surely, 2^324289472832 is an apocalyptic number.

324289472832 is a gapful number since it is divisible by the number (32) 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 324289472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520912465920).

324289472832 is an abundant number, since it is smaller than the sum of its proper divisors (717535459008).

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

324289472832 is a wasteful number, since it uses less digits than its factorization.

324289472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 919 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 324289472832 in words is "three hundred twenty-four billion, two hundred eighty-nine million, four hundred seventy-two thousand, eight hundred thirty-two".