329228212460640 has 384 divisors, whose sum is σ = 1045495716249600. Its totient is φ = 87083266406400.

The previous prime is 329228212460633. The next prime is 329228212460683. The reversal of 329228212460640 is 46064212822923.

It is a super-2 number, since 2×329228212460640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137235602161 + ... + 137235604559.

It is an arithmetic number, because the mean of its divisors is an integer number (2722645094400).

Almost surely, 2^{329228212460640} is an apocalyptic number.

329228212460640 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 329228212460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522747858124800).

329228212460640 is an abundant number, since it is smaller than the sum of its proper divisors (716267503788960).

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

329228212460640 is a wasteful number, since it uses less digits than its factorization.

329228212460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 329228212460640 in words is "three hundred twenty-nine trillion, two hundred twenty-eight billion, two hundred twelve million, four hundred sixty thousand, six hundred forty".