327306028140 has 1152 divisors, whose sum is σ = 1330667520000. Its totient is φ = 64908200448.

The previous prime is 327306028139. The next prime is 327306028151. The reversal of 327306028140 is 41820603723.

It is a happy number.

327306028140 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 0 + 602 + 8 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 327306028095 and 327306028104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2577212757 + ... + 2577212883.

Almost surely, 2^327306028140 is an apocalyptic number.

327306028140 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 327306028140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665333760000).

327306028140 is an abundant number, since it is smaller than the sum of its proper divisors (1003361491860).

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

327306028140 is a wasteful number, since it uses less digits than its factorization.

327306028140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 327306028140 in words is "three hundred twenty-seven billion, three hundred six million, twenty-eight thousand, one hundred forty".