328341920640 has 192 divisors, whose sum is σ = 1094075594640. Its totient is φ = 83750723584.

The previous prime is 328341920639. The next prime is 328341920677. The reversal of 328341920640 is 46029143823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 328341920592 and 328341920601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854044 + ... + 1177316.

Almost surely, 2^328341920640 is an apocalyptic number.

328341920640 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 328341920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547037797320).

328341920640 is an abundant number, since it is smaller than the sum of its proper divisors (765733674000).

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

328341920640 is a wasteful number, since it uses less digits than its factorization.

328341920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323341 (or 323306 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 328341920640 in words is "three hundred twenty-eight billion, three hundred forty-one million, nine hundred twenty thousand, six hundred forty".