327681066240 has 432 divisors, whose sum is σ = 1290595662720. Its totient is φ = 75983339520.

The previous prime is 327681066239. The next prime is 327681066253. The reversal of 327681066240 is 42660186723.

327681066240 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 10 + 6 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858346 + ... + 2970774.

It is an arithmetic number, because the mean of its divisors is an integer number (2987489960).

Almost surely, 2^327681066240 is an apocalyptic number.

327681066240 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 327681066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645297831360).

327681066240 is an abundant number, since it is smaller than the sum of its proper divisors (962914596480).

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

327681066240 is a wasteful number, since it uses less digits than its factorization.

327681066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112490 (or 112473 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 327681066240 in words is "three hundred twenty-seven billion, six hundred eighty-one million, sixty-six thousand, two hundred forty".