327967068000 has 384 divisors, whose sum is σ = 1262262403584. Its totient is φ = 73390848000.

The previous prime is 327967067999. The next prime is 327967068001. The reversal of 327967068000 is 860769723.

It is an interprime number because it is at equal distance from previous prime (327967067999) and next prime (327967068001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327967068001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1620439 + ... + 1811561.

It is an arithmetic number, because the mean of its divisors is an integer number (3287141676).

Almost surely, 2^327967068000 is an apocalyptic number.

327967068000 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 327967068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631131201792).

327967068000 is an abundant number, since it is smaller than the sum of its proper divisors (934295335584).

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

327967068000 is a wasteful number, since it uses less digits than its factorization.

327967068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191175 (or 191157 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

It can be divided in two parts, 32796 and 7068000, that added together give a triangular number (7100796 = T₃₇₆₈).

The spelling of 327967068000 in words is "three hundred twenty-seven billion, nine hundred sixty-seven million, sixty-eight thousand".