329969818080 has 864 divisors, whose sum is σ = 1374837504768. Its totient is φ = 71763148800.

The previous prime is 329969818043. The next prime is 329969818169. The reversal of 329969818080 is 80818969923.

329969818080 is a `hidden beast` number, since 3 + 299 + 6 + 98 + 180 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 329969817999 and 329969818017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133427724 + ... + 133430196.

It is an arithmetic number, because the mean of its divisors is an integer number (1591247112).

Almost surely, 2^329969818080 is an apocalyptic number.

329969818080 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 329969818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687418752384).

329969818080 is an abundant number, since it is smaller than the sum of its proper divisors (1044867686688).

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

329969818080 is a wasteful number, since it uses less digits than its factorization.

329969818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 329969818080 in words is "three hundred twenty-nine billion, nine hundred sixty-nine million, eight hundred eighteen thousand, eighty".