327225600000 has 1728 divisors, whose sum is σ = 1397329315200. Its totient is φ = 72990720000.

The previous prime is 327225599989. The next prime is 327225600029. The reversal of 327225600000 is 6522723.

327225600000 is a `hidden beast` number, since 32 + 7 + 2 + 25 + 600 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14227199989 + ... + 14227200011.

It is an arithmetic number, because the mean of its divisors is an integer number (808639650).

Almost surely, 2^327225600000 is an apocalyptic number.

327225600000 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 327225600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698664657600).

327225600000 is an abundant number, since it is smaller than the sum of its proper divisors (1070103715200).

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

327225600000 is a wasteful number, since it uses less digits than its factorization.

327225600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 327225600000 in words is "three hundred twenty-seven billion, two hundred twenty-five million, six hundred thousand".