320200828864 has 112 divisors (see below), whose sum is σ = 758014483968. Its totient is φ = 131215315968.

The previous prime is 320200828837. The next prime is 320200828889. The reversal of 320200828864 is 468828002023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 320200828864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54948319 + ... + 54954145.

It is an arithmetic number, because the mean of its divisors is an integer number (6767986464).

Almost surely, 2^320200828864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320200828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379007241984).

320200828864 is an abundant number, since it is smaller than the sum of its proper divisors (437813655104).

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

320200828864 is a wasteful number, since it uses less digits than its factorization.

320200828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 11192 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 320200828864 in words is "three hundred twenty billion, two hundred million, eight hundred twenty-eight thousand, eight hundred sixty-four".