328552519680 has 2304 divisors, whose sum is σ = 1556000409600. Its totient is φ = 64231833600.

The previous prime is 328552519639. The next prime is 328552519709. The reversal of 328552519680 is 86915255823.

It is a happy number.

328552519680 is a `hidden beast` number, since 3 + 2 + 8 + 552 + 5 + 1 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×328552519680³ (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5386106850 + ... + 5386106910.

It is an arithmetic number, because the mean of its divisors is an integer number (675347400).

Almost surely, 2^328552519680 is an apocalyptic number.

328552519680 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 328552519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778000204800).

328552519680 is an abundant number, since it is smaller than the sum of its proper divisors (1227447889920).

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

328552519680 is a wasteful number, since it uses less digits than its factorization.

328552519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 328552519680 in words is "three hundred twenty-eight billion, five hundred fifty-two million, five hundred nineteen thousand, six hundred eighty".