329689068140100 has 576 divisors, whose sum is σ = 1031625211760640. Its totient is φ = 81042223680000.

The previous prime is 329689068140077. The next prime is 329689068140183. The reversal of 329689068140100 is 1041860986923.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14179553475 + ... + 14179576725.

It is an arithmetic number, because the mean of its divisors is an integer number (1791015992640).

Almost surely, 2^{329689068140100} is an apocalyptic number.

329689068140100 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 329689068140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515812605880320).

329689068140100 is an abundant number, since it is smaller than the sum of its proper divisors (701936143620540).

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

329689068140100 is a wasteful number, since it uses less digits than its factorization.

329689068140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23808 (or 23801 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 329689068140100 in words is "three hundred twenty-nine trillion, six hundred eighty-nine billion, sixty-eight million, one hundred forty thousand, one hundred".