327870225280 has 1024 divisors, whose sum is σ = 990192107520. Its totient is φ = 102558597120.

The previous prime is 327870225247. The next prime is 327870225289. The reversal of 327870225280 is 82522078723.

It is a self number, because there is not a number n which added to its sum of digits gives 327870225280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327870225289) 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 127 ways as a sum of consecutive naturals, for example, 6975962217 + ... + 6975962263.

It is an arithmetic number, because the mean of its divisors is an integer number (966984480).

Almost surely, 2^327870225280 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 327870225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495096053760).

327870225280 is an abundant number, since it is smaller than the sum of its proper divisors (662321882240).

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

327870225280 is a wasteful number, since it uses less digits than its factorization.

327870225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 327870225280 in words is "three hundred twenty-seven billion, eight hundred seventy million, two hundred twenty-five thousand, two hundred eighty".