328960880640 has 1872 divisors, whose sum is σ = 1468340939520. Its totient is φ = 70230343680.

The previous prime is 328960880623. The next prime is 328960880693. The reversal of 328960880640 is 46088069823.

328960880640 is a `hidden beast` number, since 3 + 28 + 9 + 608 + 8 + 0 + 6 + 4 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4633251805 + ... + 4633251875.

It is an arithmetic number, because the mean of its divisors is an integer number (784370160).

Almost surely, 2^328960880640 is an apocalyptic number.

328960880640 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 328960880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734170469760).

328960880640 is an abundant number, since it is smaller than the sum of its proper divisors (1139380058880).

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

328960880640 is an equidigital number, since it uses as much as digits as its factorization.

328960880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 328960880640 in words is "three hundred twenty-eight billion, nine hundred sixty million, eight hundred eighty thousand, six hundred forty".