329690047680 has 504 divisors, whose sum is σ = 1340798893200. Its totient is φ = 74120417280.

The previous prime is 329690047663. The next prime is 329690047681. The reversal of 329690047680 is 86740096923.

It is a happy number.

329690047680 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 90 + 0 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (329690047681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8589171 + ... + 8627469.

Almost surely, 2^329690047680 is an apocalyptic number.

329690047680 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 329690047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670399446600).

329690047680 is an abundant number, since it is smaller than the sum of its proper divisors (1011108845520).

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

329690047680 is a wasteful number, since it uses less digits than its factorization.

329690047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38397 (or 38377 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 329690047680 in words is "three hundred twenty-nine billion, six hundred ninety million, forty-seven thousand, six hundred eighty".