327765430800000 has 1920 divisors, whose sum is σ = 1258754259414960. Its totient is φ = 84602880000000.

The previous prime is 327765430799999. The next prime is 327765430800043. The reversal of 327765430800000 is 8034567723.

327765430800000 is a `hidden beast` number, since 3 + 27 + 7 + 6 + 543 + 0 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 327683272896576 + 82157903424 = 18102024^2 + 286632^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 181990799100 + ... + 181990800900.

Almost surely, 2^{327765430800000} is an apocalyptic number.

327765430800000 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 327765430800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629377129707480).

327765430800000 is an abundant number, since it is smaller than the sum of its proper divisors (930988828614960).

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

327765430800000 is an equidigital number, since it uses as much as digits as its factorization.

327765430800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 327765430800000 in words is "three hundred twenty-seven trillion, seven hundred sixty-five billion, four hundred thirty million, eight hundred thousand".