329741667920 has 160 divisors (see below), whose sum is σ = 881439584256. Its totient is φ = 112375872000.

The previous prime is 329741667919. The next prime is 329741667971. The reversal of 329741667920 is 29766147923.

It is a super-3 number, since 3×329741667920³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 140254745 + ... + 140257095.

Almost surely, 2^329741667920 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 329741667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440719792128).

329741667920 is an abundant number, since it is smaller than the sum of its proper divisors (551697916336).

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

329741667920 is a wasteful number, since it uses less digits than its factorization.

329741667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 329741667920 in words is "three hundred twenty-nine billion, seven hundred forty-one million, six hundred sixty-seven thousand, nine hundred twenty".