328721633856 has 1120 divisors, whose sum is σ = 1295843788800. Its totient is φ = 79815352320.

The previous prime is 328721633833. The next prime is 328721633909. The reversal of 328721633856 is 658336127823.

It is a happy number.

328721633856 is a `hidden beast` number, since 3 + 287 + 21 + 6 + 338 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 674992845 + ... + 674993331.

Almost surely, 2^328721633856 is an apocalyptic number.

328721633856 is a gapful number since it is divisible by the number (36) 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 328721633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647921894400).

328721633856 is an abundant number, since it is smaller than the sum of its proper divisors (967122154944).

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

328721633856 is a wasteful number, since it uses less digits than its factorization.

328721633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 328721633856 in words is "three hundred twenty-eight billion, seven hundred twenty-one million, six hundred thirty-three thousand, eight hundred fifty-six".