328759940160 has 448 divisors, whose sum is σ = 1208295475200. Its totient is φ = 84055449600.

The previous prime is 328759940107. The next prime is 328759940183. The reversal of 328759940160 is 61049957823.

328759940160 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 599 + 40 + 1 + 6 + 0 = 666.

It is a super-3 number, since 3×328759940160³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 328759940097 and 328759940106.

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, 29188930 + ... + 29200190.

It is a 1-persistent number, because it is pandigital, but 2⋅328759940160 = 657519880320 is not.

Almost surely, 2^328759940160 is an apocalyptic number.

328759940160 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 328759940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604147737600).

328759940160 is an abundant number, since it is smaller than the sum of its proper divisors (879535535040).

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

328759940160 is a wasteful number, since it uses less digits than its factorization.

328759940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 328759940160 in words is "three hundred twenty-eight billion, seven hundred fifty-nine million, nine hundred forty thousand, one hundred sixty".