320634400020 has 768 divisors, whose sum is σ = 1099397505024. Its totient is φ = 68935680000.

The previous prime is 320634400019. The next prime is 320634400027. The reversal of 320634400020 is 20004436023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320634400027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3112955289 + ... + 3112955391.

It is an arithmetic number, because the mean of its divisors is an integer number (1431507168).

Almost surely, 2^320634400020 is an apocalyptic number.

320634400020 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 320634400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549698752512).

320634400020 is an abundant number, since it is smaller than the sum of its proper divisors (778763105004).

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

320634400020 is a wasteful number, since it uses less digits than its factorization.

320634400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320634400020 its reverse (20004436023), we get a palindrome (340638836043).

The spelling of 320634400020 in words is "three hundred twenty billion, six hundred thirty-four million, four hundred thousand, twenty".