320008016020 has 192 divisors, whose sum is σ = 850079784960. Its totient is φ = 98290483200.

The previous prime is 320008015981. The next prime is 320008016047. The reversal of 320008016020 is 20610800023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 320008015982 and 320008016000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71412180 + ... + 71416660.

It is an arithmetic number, because the mean of its divisors is an integer number (4427498880).

Almost surely, 2^320008016020 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 320008016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425039892480).

320008016020 is an abundant number, since it is smaller than the sum of its proper divisors (530071768940).

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

320008016020 is a wasteful number, since it uses less digits than its factorization.

320008016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 320008016020 its reverse (20610800023), we get a palindrome (340618816043).

The spelling of 320008016020 in words is "three hundred twenty billion, eight million, sixteen thousand, twenty".