327468960000 has 2880 divisors, whose sum is σ = 1609134912000. Its totient is φ = 65028096000.

The previous prime is 327468959981. The next prime is 327468960001. The reversal of 327468960000 is 69864723.

327468960000 is a `hidden beast` number, since 32 + 7 + 4 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327468960001) 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 319 ways as a sum of consecutive naturals, for example, 19262879992 + ... + 19262880008.

It is an arithmetic number, because the mean of its divisors is an integer number (558727400).

Almost surely, 2^327468960000 is an apocalyptic number.

327468960000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327468960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804567456000).

327468960000 is an abundant number, since it is smaller than the sum of its proper divisors (1281665952000).

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

327468960000 is an equidigital number, since it uses as much as digits as its factorization.

327468960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 327468960000 in words is "three hundred twenty-seven billion, four hundred sixty-eight million, nine hundred sixty thousand".