327405312000 has 1152 divisors, whose sum is σ = 1347746662080. Its totient is φ = 75733401600.

The previous prime is 327405311971. The next prime is 327405312061. The reversal of 327405312000 is 213504723.

327405312000 is a `hidden beast` number, since 3 + 27 + 405 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 509183679 + ... + 509184321.

Almost surely, 2^327405312000 is an apocalyptic number.

327405312000 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 327405312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673873331040).

327405312000 is an abundant number, since it is smaller than the sum of its proper divisors (1020341350080).

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

327405312000 is a wasteful number, since it uses less digits than its factorization.

327405312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 327405312000 its reverse (213504723), we get a palindrome (327618816723).

The spelling of 327405312000 in words is "three hundred twenty-seven billion, four hundred five million, three hundred twelve thousand".