327936000000 has 840 divisors, whose sum is σ = 1269704997568. Its totient is φ = 73728000000.

The previous prime is 327935999983. The next prime is 327936000013. The reversal of 327936000000 is 639723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5375999970 + ... + 5376000030.

Almost surely, 2^327936000000 is an apocalyptic number.

327936000000 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 327936000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634852498784).

327936000000 is an abundant number, since it is smaller than the sum of its proper divisors (941768997568).

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

327936000000 is an frugal number, since it uses more digits than its factorization.

327936000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

Adding to 327936000000 its reverse (639723), we get a palindrome (327936639723).

The spelling of 327936000000 in words is "three hundred twenty-seven billion, nine hundred thirty-six million", and thus it is an aban number.