320512204800 has 630 divisors, whose sum is σ = 1195929690813. Its totient is φ = 84855029760.

The previous prime is 320512204781. The next prime is 320512204813. The reversal of 320512204800 is 8402215023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 314101960704 + 6410244096 = 560448^2 + 80064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=400320.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2305843131 + ... + 2305843269.

Almost surely, 2^320512204800 is an apocalyptic number.

320512204800 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 320512204800

320512204800 is an abundant number, since it is smaller than the sum of its proper divisors (875417486013).

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

320512204800 is an frugal number, since it uses more digits than its factorization.

320512204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 320512204800 its reverse (8402215023), we get a palindrome (328914419823).

The spelling of 320512204800 in words is "three hundred twenty billion, five hundred twelve million, two hundred four thousand, eight hundred".