327042871680 has 1024 divisors, whose sum is σ = 1304294400000. Its totient is φ = 69460844544.

The previous prime is 327042871669. The next prime is 327042871723. The reversal of 327042871680 is 86178240723.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738245539 + ... + 738245981.

It is an arithmetic number, because the mean of its divisors is an integer number (1273725000).

Almost surely, 2^327042871680 is an apocalyptic number.

327042871680 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 327042871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652147200000).

327042871680 is an abundant number, since it is smaller than the sum of its proper divisors (977251528320).

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

327042871680 is a wasteful number, since it uses less digits than its factorization.

327042871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 327042871680 in words is "three hundred twenty-seven billion, forty-two million, eight hundred seventy-one thousand, six hundred eighty".