327972287160 has 384 divisors, whose sum is σ = 1291173436800. Its totient is φ = 70482493440.

The previous prime is 327972287147. The next prime is 327972287179. The reversal of 327972287160 is 61782279723.

327972287160 is a `hidden beast` number, since 327 + 97 + 228 + 7 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×327972287160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 327972287097 and 327972287106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48362970 + ... + 48369750.

It is an arithmetic number, because the mean of its divisors is an integer number (3362430825).

Almost surely, 2^327972287160 is an apocalyptic number.

327972287160 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 327972287160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645586718400).

327972287160 is an abundant number, since it is smaller than the sum of its proper divisors (963201149640).

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

327972287160 is a wasteful number, since it uses less digits than its factorization.

327972287160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 327972287160 in words is "three hundred twenty-seven billion, nine hundred seventy-two million, two hundred eighty-seven thousand, one hundred sixty".