327487581120 has 1344 divisors, whose sum is σ = 1377253186560. Its totient is φ = 64178749440.

The previous prime is 327487581097. The next prime is 327487581133. The reversal of 327487581120 is 21185784723.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 327487581120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2085908082 + ... + 2085908238.

Almost surely, 2^327487581120 is an apocalyptic number.

327487581120 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 327487581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688626593280).

327487581120 is an abundant number, since it is smaller than the sum of its proper divisors (1049765605440).

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

327487581120 is a wasteful number, since it uses less digits than its factorization.

327487581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 327487581120 in words is "three hundred twenty-seven billion, four hundred eighty-seven million, five hundred eighty-one thousand, one hundred twenty".