327801344000 has 416 divisors, whose sum is σ = 933169307616. Its totient is φ = 113875353600.

The previous prime is 327801343999. The next prime is 327801344029. The reversal of 327801344000 is 443108723.

It can be written as a sum of positive squares in 16 ways, for example, as 298448060416 + 29353283584 = 546304^2 + 171328^2 .

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×327801344000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113150552 + ... + 113153448.

It is an arithmetic number, because the mean of its divisors is an integer number (2243195451).

Almost surely, 2^327801344000 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 327801344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466584653808).

327801344000 is an abundant number, since it is smaller than the sum of its proper divisors (605367963616).

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

327801344000 is a wasteful number, since it uses less digits than its factorization.

327801344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 327801344000 in words is "three hundred twenty-seven billion, eight hundred one million, three hundred forty-four thousand".