327386912832 has 672 divisors, whose sum is σ = 1191064521600. Its totient is φ = 87924953088.

The previous prime is 327386912813. The next prime is 327386912833. The reversal of 327386912832 is 238219683723.

327386912832 is a `hidden beast` number, since 3 + 273 + 8 + 6 + 91 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327386912833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415993143 + ... + 415993929.

Almost surely, 2^327386912832 is an apocalyptic number.

327386912832 is a gapful number since it is divisible by the number (32) 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 327386912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595532260800).

327386912832 is an abundant number, since it is smaller than the sum of its proper divisors (863677608768).

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

327386912832 is an equidigital number, since it uses as much as digits as its factorization.

327386912832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 816 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 327386912832 in words is "three hundred twenty-seven billion, three hundred eighty-six million, nine hundred twelve thousand, eight hundred thirty-two".