327708067984128 has 2160 divisors, whose sum is σ = 1127597618036736. Its totient is φ = 93994536222720.

The previous prime is 327708067984123. The next prime is 327708067984169. The reversal of 327708067984128 is 821489760807723.

It is a happy number.

327708067984128 is a `hidden beast` number, since 3 + 2 + 7 + 70 + 80 + 67 + 9 + 8 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (327708067984123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1962323760301 + ... + 1962323760467.

Almost surely, 2^{327708067984128} 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 327708067984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563798809018368).

327708067984128 is an abundant number, since it is smaller than the sum of its proper divisors (799889550052608).

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

327708067984128 is a wasteful number, since it uses less digits than its factorization.

327708067984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 327708067984128 in words is "three hundred twenty-seven trillion, seven hundred eight billion, sixty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight".