328003643298240 has 7168 divisors, whose sum is σ = 1634960542924800. Its totient is φ = 60679016939520.

The previous prime is 328003643298217. The next prime is 328003643298241. The reversal of 328003643298240 is 42892346300823.

328003643298240 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 0 + 364 + 32 + 9 + 8 + 240 = 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 (328003643298241) 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 1023 ways as a sum of consecutive naturals, for example, 973304579352 + ... + 973304579688.

It is an arithmetic number, because the mean of its divisors is an integer number (228091593600).

Almost surely, 2^{328003643298240} is an apocalyptic number.

328003643298240 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 328003643298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817480271462400).

328003643298240 is an abundant number, since it is smaller than the sum of its proper divisors (1306956899626560).

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

328003643298240 is a wasteful number, since it uses less digits than its factorization.

328003643298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 328003643298240 in words is "three hundred twenty-eight trillion, three billion, six hundred forty-three million, two hundred ninety-eight thousand, two hundred forty".