328457668500 has 864 divisors, whose sum is σ = 1186810017120. Its totient is φ = 76317696000.

The previous prime is 328457668459. The next prime is 328457668501. The reversal of 328457668500 is 5866754823.

328457668500 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 5 + 76 + 68 + 500 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 281661595524 + 46796072976 = 530718^2 + 216324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328457668501) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1168888360 + ... + 1168888640.

It is an arithmetic number, because the mean of its divisors is an integer number (1373622705).

Almost surely, 2^328457668500 is an apocalyptic number.

328457668500 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 328457668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593405008560).

328457668500 is an abundant number, since it is smaller than the sum of its proper divisors (858352348620).

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

328457668500 is a wasteful number, since it uses less digits than its factorization.

328457668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 328457668500 in words is "three hundred twenty-eight billion, four hundred fifty-seven million, six hundred sixty-eight thousand, five hundred".