328640785984 has 189 divisors, whose sum is σ = 787912833747. Its totient is φ = 135604051968.

The previous prime is 328640785969. The next prime is 328640786041. The reversal of 328640785984 is 489587046823.

The square root of 328640785984 is 573272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1603201600 + 327037584384 = 40040^2 + 571872^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 930993552 + ... + 930993904.

Almost surely, 2^328640785984 is an apocalyptic number.

328640785984 is the 573272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328640785984

328640785984 is an abundant number, since it is smaller than the sum of its proper divisors (459272047763).

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

328640785984 is an frugal number, since it uses more digits than its factorization.

328640785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

Multiplying 328640785984 by its sum of digits (64), we get a square (21033010302976 = 4586176²).

328640785984 divided by its sum of digits (64) gives a square (5135012281 = 71659²).

The spelling of 328640785984 in words is "three hundred twenty-eight billion, six hundred forty million, seven hundred eighty-five thousand, nine hundred eighty-four".