328641546240 has 1440 divisors, whose sum is σ = 1420461282240. Its totient is φ = 71180550144.

The previous prime is 328641546239. The next prime is 328641546287. The reversal of 328641546240 is 42645146823.

328641546240 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 4 + 15 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3071416267 + ... + 3071416373.

It is an arithmetic number, because the mean of its divisors is an integer number (986431446).

Almost surely, 2^328641546240 is an apocalyptic number.

328641546240 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 328641546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710230641120).

328641546240 is an abundant number, since it is smaller than the sum of its proper divisors (1091819736000).

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

328641546240 is a wasteful number, since it uses less digits than its factorization.

328641546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 328641546240 in words is "three hundred twenty-eight billion, six hundred forty-one million, five hundred forty-six thousand, two hundred forty".