232064404000 has 768 divisors, whose sum is σ = 714861987840. Its totient is φ = 72783360000.

The previous prime is 232064403953. The next prime is 232064404009. The reversal of 232064404000 is 404460232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232064404009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1423707919 + ... + 1423708081.

It is an arithmetic number, because the mean of its divisors is an integer number (930809880).

Almost surely, 2^232064404000 is an apocalyptic number.

232064404000 is a gapful number since it is divisible by the number (20) 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 232064404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357430993920).

232064404000 is an abundant number, since it is smaller than the sum of its proper divisors (482797583840).

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

232064404000 is a wasteful number, since it uses less digits than its factorization.

232064404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 232064404000 its reverse (404460232), we get a palindrome (232468864232).

The spelling of 232064404000 in words is "two hundred thirty-two billion, sixty-four million, four hundred four thousand".