68832000000 has 504 divisors, whose sum is σ = 249535868400. Its totient is φ = 18278400000.

The previous prime is 68831999921. The next prime is 68832000001. The reversal of 68832000000 is 23886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68832000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999881 + ... + 288000119.

It is an arithmetic number, because the mean of its divisors is an integer number (495110850).

Almost surely, 2^68832000000 is an apocalyptic number.

68832000000 is a gapful number since it is divisible by the number (60) 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 68832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124767934200).

68832000000 is an abundant number, since it is smaller than the sum of its proper divisors (180703868400).

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

68832000000 is an frugal number, since it uses more digits than its factorization.

68832000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 68832000000 its reverse (23886), we get a palindrome (68832023886).

The spelling of 68832000000 in words is "sixty-eight billion, eight hundred thirty-two million", and thus it is an aban number.