329028800068800 has 2688 divisors, whose sum is σ = 1335298368768000. Its totient is φ = 78315193958400.

The previous prime is 329028800068799. The next prime is 329028800068811. The reversal of 329028800068800 is 8860008820923.

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 (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 781541092590 + ... + 781541093010.

It is an arithmetic number, because the mean of its divisors is an integer number (496762786000).

Almost surely, 2^{329028800068800} is an apocalyptic number.

329028800068800 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 329028800068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667649184384000).

329028800068800 is an abundant number, since it is smaller than the sum of its proper divisors (1006269568699200).

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

329028800068800 is a wasteful number, since it uses less digits than its factorization.

329028800068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 329028800068800 in words is "three hundred twenty-nine trillion, twenty-eight billion, eight hundred million, sixty-eight thousand, eight hundred".