327438121600 has 192 divisors, whose sum is σ = 818540110080. Its totient is φ = 129415680000.

The previous prime is 327438121573. The next prime is 327438121601. The reversal of 327438121600 is 6121834723.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 327438121600.

It is not an unprimeable number, because it can be changed into a prime (327438121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265992985 + ... + 265994215.

It is an arithmetic number, because the mean of its divisors is an integer number (4263229740).

Almost surely, 2^327438121600 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 327438121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409270055040).

327438121600 is an abundant number, since it is smaller than the sum of its proper divisors (491101988480).

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

327438121600 is a wasteful number, since it uses less digits than its factorization.

327438121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 327438121600 in words is "three hundred twenty-seven billion, four hundred thirty-eight million, one hundred twenty-one thousand, six hundred".