328200063840 has 480 divisors, whose sum is σ = 1275223007520. Its totient is φ = 78829977600.

The previous prime is 328200063833. The next prime is 328200063859. The reversal of 328200063840 is 48360002823.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328200063795 and 328200063804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15528480 + ... + 15549600.

It is an arithmetic number, because the mean of its divisors is an integer number (2656714599).

Almost surely, 2^328200063840 is an apocalyptic number.

328200063840 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 328200063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637611503760).

328200063840 is an abundant number, since it is smaller than the sum of its proper divisors (947022943680).

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

328200063840 is a wasteful number, since it uses less digits than its factorization.

328200063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 328200063840 in words is "three hundred twenty-eight billion, two hundred million, sixty-three thousand, eight hundred forty".