327488878080 has 960 divisors, whose sum is σ = 1409711022720. Its totient is φ = 68414865408.

The previous prime is 327488878061. The next prime is 327488878081. The reversal of 327488878080 is 80878884723.

327488878080 is a `hidden beast` number, since 3 + 2 + 7 + 488 + 8 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 327488877999 and 327488878017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327488878081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228533044 + ... + 228534476.

It is an arithmetic number, because the mean of its divisors is an integer number (1468448982).

Almost surely, 2^327488878080 is an apocalyptic number.

327488878080 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 327488878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704855511360).

327488878080 is an abundant number, since it is smaller than the sum of its proper divisors (1082222144640).

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

327488878080 is a wasteful number, since it uses less digits than its factorization.

327488878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 327488878080 in words is "three hundred twenty-seven billion, four hundred eighty-eight million, eight hundred seventy-eight thousand, eighty".