329645568 has 320 divisors, whose sum is σ = 1106214912. Its totient is φ = 85155840.

The previous prime is 329645551. The next prime is 329645593. The reversal of 329645568 is 865546923.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666155 + ... + 7666197.

Almost surely, 2^329645568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553107456).

329645568 is an abundant number, since it is smaller than the sum of its proper divisors (776569344).

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

329645568 is a wasteful number, since it uses less digits than its factorization.

329645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 329645568 is about 18156.1440840284. The cubic root of 329645568 is about 690.7948328476.

The spelling of 329645568 in words is "three hundred twenty-nine million, six hundred forty-five thousand, five hundred sixty-eight".