329801860080 has 960 divisors, whose sum is σ = 1437603987456. Its totient is φ = 65753856000.

The previous prime is 329801860079. The next prime is 329801860097. The reversal of 329801860080 is 80068108923.

329801860080 is a `hidden beast` number, since 3 + 29 + 8 + 0 + 18 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 218266525 + ... + 218268035.

Almost surely, 2^329801860080 is an apocalyptic number.

329801860080 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 329801860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718801993728).

329801860080 is an abundant number, since it is smaller than the sum of its proper divisors (1107802127376).

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

329801860080 is a wasteful number, since it uses less digits than its factorization.

329801860080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 329801860080 in words is "three hundred twenty-nine billion, eight hundred one million, eight hundred sixty thousand, eighty".