24234768000 has 256 divisors, whose sum is σ = 89266320000. Its totient is φ = 6462489600.

The previous prime is 24234767983. The next prime is 24234768001. The reversal of 24234768000 is 86743242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24234768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403951 + ... + 460049.

Almost surely, 2^24234768000 is an apocalyptic number.

24234768000 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 24234768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44633160000).

24234768000 is an abundant number, since it is smaller than the sum of its proper divisors (65031552000).

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

24234768000 is an equidigital number, since it uses as much as digits as its factorization.

24234768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56137 (or 56109 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 24234768000 in words is "twenty-four billion, two hundred thirty-four million, seven hundred sixty-eight thousand".