328604418535680 has 1728 divisors, whose sum is σ = 1383904615661568. Its totient is φ = 73092230184960.

The previous prime is 328604418535667. The next prime is 328604418535697. The reversal of 328604418535680 is 86535814406823.

328604418535680 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 0 + 4 + 4 + 18 + 53 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 25933575745 + ... + 25933588415.

It is an arithmetic number, because the mean of its divisors is an integer number (800870726656).

Almost surely, 2^{328604418535680} is an apocalyptic number.

328604418535680 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 328604418535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691952307830784).

328604418535680 is an abundant number, since it is smaller than the sum of its proper divisors (1055300197125888).

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

328604418535680 is a wasteful number, since it uses less digits than its factorization.

328604418535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 328604418535680 in words is "three hundred twenty-eight trillion, six hundred four billion, four hundred eighteen million, five hundred thirty-five thousand, six hundred eighty".