327742272200 has 108 divisors (see below), whose sum is σ = 886562378865. Its totient is φ = 112349348160.

The previous prime is 327742272199. The next prime is 327742272223. The reversal of 327742272200 is 2272247723.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 321187426756 + 6554845444 = 566734^2 + 80962^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=404810.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56670509 + ... + 56676291.

Almost surely, 2^327742272200 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 327742272200

327742272200 is an abundant number, since it is smaller than the sum of its proper divisors (558820106665).

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

327742272200 is an frugal number, since it uses more digits than its factorization.

327742272200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 38.

The spelling of 327742272200 in words is "three hundred twenty-seven billion, seven hundred forty-two million, two hundred seventy-two thousand, two hundred".