320230332000 has 288 divisors, whose sum is σ = 1196315658720. Its totient is φ = 80900121600.

The previous prime is 320230331977. The next prime is 320230332049. The reversal of 320230332000 is 233032023.

320230332000 is a `hidden beast` number, since 320 + 23 + 0 + 3 + 320 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449914 + ... + 918086.

It is an arithmetic number, because the mean of its divisors is an integer number (4153873815).

Almost surely, 2^320230332000 is an apocalyptic number.

320230332000 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 320230332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598157829360).

320230332000 is an abundant number, since it is smaller than the sum of its proper divisors (876085326720).

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

320230332000 is a wasteful number, since it uses less digits than its factorization.

320230332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468223 (or 468202 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 320230332000 its reverse (233032023), we get a palindrome (320463364023).

The spelling of 320230332000 in words is "three hundred twenty billion, two hundred thirty million, three hundred thirty-two thousand".