329676688631808 has 768 divisors, whose sum is σ = 1199832431616000. Its totient is φ = 87337069903872.

The previous prime is 329676688631791. The next prime is 329676688631831. The reversal of 329676688631808 is 808136886676923.

329676688631808 is a `hidden beast` number, since 3 + 296 + 7 + 6 + 6 + 8 + 8 + 6 + 318 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 345178410 + ... + 346132182.

It is an arithmetic number, because the mean of its divisors is an integer number (1562281812000).

Almost surely, 2^{329676688631808} is an apocalyptic number.

329676688631808 is a gapful number since it is divisible by the number (38) 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 329676688631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599916215808000).

329676688631808 is an abundant number, since it is smaller than the sum of its proper divisors (870155742984192).

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

329676688631808 is a wasteful number, since it uses less digits than its factorization.

329676688631808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953877 (or 953851 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 329676688631808 in words is "three hundred twenty-nine trillion, six hundred seventy-six billion, six hundred eighty-eight million, six hundred thirty-one thousand, eight hundred eight".