328497794297568 has 768 divisors, whose sum is σ = 1144953344102400. Its totient is φ = 89644760432640.

The previous prime is 328497794297339. The next prime is 328497794297599. The reversal of 328497794297568 is 865792497794823.

328497794297568 is a `hidden beast` number, since 3 + 2 + 8 + 49 + 7 + 79 + 429 + 75 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66537934396 + ... + 66537939332.

It is an arithmetic number, because the mean of its divisors is an integer number (1490824666800).

Almost surely, 2^{328497794297568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328497794297568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572476672051200).

328497794297568 is an abundant number, since it is smaller than the sum of its proper divisors (816455549804832).

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

328497794297568 is a wasteful number, since it uses less digits than its factorization.

328497794297568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8986 counting only the distinct ones).

The product of its digits is 92177326080, while the sum is 90.

The spelling of 328497794297568 in words is "three hundred twenty-eight trillion, four hundred ninety-seven billion, seven hundred ninety-four million, two hundred ninety-seven thousand, five hundred sixty-eight".