327928368240 has 320 divisors, whose sum is σ = 1239789934080. Its totient is φ = 79009136640.

The previous prime is 327928368193. The next prime is 327928368247. The reversal of 327928368240 is 42863829723.

327928368240 is a `hidden beast` number, since 3 + 279 + 2 + 8 + 368 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327928368247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3830544 + ... + 3915216.

It is an arithmetic number, because the mean of its divisors is an integer number (3874343544).

Almost surely, 2^327928368240 is an apocalyptic number.

327928368240 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 327928368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619894967040).

327928368240 is an abundant number, since it is smaller than the sum of its proper divisors (911861565840).

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

327928368240 is a wasteful number, since it uses less digits than its factorization.

327928368240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84869 (or 84857 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 327928368240 in words is "three hundred twenty-seven billion, nine hundred twenty-eight million, three hundred sixty-eight thousand, two hundred forty".