327982681600 has 960 divisors, whose sum is σ = 1036573655040. Its totient is φ = 100329062400.

The previous prime is 327982681597. The next prime is 327982681603. The reversal of 327982681600 is 6186289723.

It is an interprime number because it is at equal distance from previous prime (327982681597) and next prime (327982681603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327982681603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2582540737 + ... + 2582540863.

It is an arithmetic number, because the mean of its divisors is an integer number (1079764224).

Almost surely, 2^327982681600 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 327982681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518286827520).

327982681600 is an abundant number, since it is smaller than the sum of its proper divisors (708590973440).

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

327982681600 is a wasteful number, since it uses less digits than its factorization.

327982681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 327982681600 in words is "three hundred twenty-seven billion, nine hundred eighty-two million, six hundred eighty-one thousand, six hundred".