327632432256 has 256 divisors, whose sum is σ = 1018841280000. Its totient is φ = 103363568640.

The previous prime is 327632432213. The next prime is 327632432269. The reversal of 327632432256 is 652234236723.

327632432256 is a `hidden beast` number, since 3 + 2 + 7 + 632 + 4 + 3 + 2 + 2 + 5 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 100529955 + ... + 100533213.

It is an arithmetic number, because the mean of its divisors is an integer number (3979848750).

Almost surely, 2^327632432256 is an apocalyptic number.

327632432256 is a gapful number since it is divisible by the number (36) 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 327632432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509420640000).

327632432256 is an abundant number, since it is smaller than the sum of its proper divisors (691208847744).

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

327632432256 is a wasteful number, since it uses less digits than its factorization.

327632432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4814 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

Adding to 327632432256 its reverse (652234236723), we get a palindrome (979866668979).

The spelling of 327632432256 in words is "three hundred twenty-seven billion, six hundred thirty-two million, four hundred thirty-two thousand, two hundred fifty-six".