327468494109120 has 1792 divisors, whose sum is σ = 1409131962040320. Its totient is φ = 62450860032000.

The previous prime is 327468494109077. The next prime is 327468494109161. The reversal of 327468494109120 is 21901494864723.

It is a super-2 number, since 2×327468494109120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15308693625 + ... + 15308715015.

It is an arithmetic number, because the mean of its divisors is an integer number (786345960960).

Almost surely, 2^{327468494109120} is an apocalyptic number.

327468494109120 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 327468494109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704565981020160).

327468494109120 is an abundant number, since it is smaller than the sum of its proper divisors (1081663467931200).

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

327468494109120 is a wasteful number, since it uses less digits than its factorization.

327468494109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21874 (or 21864 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 327468494109120 in words is "three hundred twenty-seven trillion, four hundred sixty-eight billion, four hundred ninety-four million, one hundred nine thousand, one hundred twenty".