327974400000 has 1248 divisors, whose sum is σ = 1325833266240. Its totient is φ = 79626240000.

The previous prime is 327974399939. The next prime is 327974400011. The reversal of 327974400000 is 4479723.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4492799964 + ... + 4492800036.

Almost surely, 2^327974400000 is an apocalyptic number.

327974400000 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 327974400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662916633120).

327974400000 is an abundant number, since it is smaller than the sum of its proper divisors (997858866240).

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

327974400000 is an frugal number, since it uses more digits than its factorization.

327974400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 327974400000 its reverse (4479723), we get a palindrome (327978879723).

The spelling of 327974400000 in words is "three hundred twenty-seven billion, nine hundred seventy-four million, four hundred thousand".