329180503680 has 768 divisors, whose sum is σ = 1389965391360. Its totient is φ = 70071091200.

The previous prime is 329180503661. The next prime is 329180503681. The reversal of 329180503680 is 86305081923.

It is a happy number.

329180503680 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 80 + 503 + 68 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (329180503681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66485205 + ... + 66490155.

It is an arithmetic number, because the mean of its divisors is an integer number (1809850770).

Almost surely, 2^329180503680 is an apocalyptic number.

329180503680 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 329180503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694982695680).

329180503680 is an abundant number, since it is smaller than the sum of its proper divisors (1060784887680).

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

329180503680 is a wasteful number, since it uses less digits than its factorization.

329180503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 329180503680 in words is "three hundred twenty-nine billion, one hundred eighty million, five hundred three thousand, six hundred eighty".