320320530432 has 288 divisors, whose sum is σ = 1103288135040. Its totient is φ = 87540203520.

The previous prime is 320320530407. The next prime is 320320530437. The reversal of 320320530432 is 234035023023.

320320530432 is a `hidden beast` number, since 3 + 2 + 0 + 320 + 5 + 304 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 320320530396 and 320320530405.

It is not an unprimeable number, because it can be changed into a prime (320320530437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913582 + ... + 3021522.

It is an arithmetic number, because the mean of its divisors is an integer number (3830861580).

Almost surely, 2^320320530432 is an apocalyptic number.

320320530432 is a gapful number since it is divisible by the number (32) 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 320320530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551644067520).

320320530432 is an abundant number, since it is smaller than the sum of its proper divisors (782967604608).

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

320320530432 is a wasteful number, since it uses less digits than its factorization.

320320530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107999 (or 107976 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 320320530432 its reverse (234035023023), we get a palindrome (554355553455).

The spelling of 320320530432 in words is "three hundred twenty billion, three hundred twenty million, five hundred thirty thousand, four hundred thirty-two".