24864000000 has 672 divisors, whose sum is σ = 97255005120. Its totient is φ = 5529600000.

The previous prime is 24863999999. The next prime is 24864000023. The reversal of 24864000000 is 46842.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 671999982 + ... + 672000018.

It is an arithmetic number, because the mean of its divisors is an integer number (144724710).

Almost surely, 2^24864000000 is an apocalyptic number.

24864000000 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 24864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48627502560).

24864000000 is an abundant number, since it is smaller than the sum of its proper divisors (72391005120).

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

24864000000 is an frugal number, since it uses more digits than its factorization.

24864000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24864000000 its reverse (46842), we get a palindrome (24864046842).

It can be divided in two parts, 24 and 864000000, that multiplied together give a square (20736000000 = 144000²).

The spelling of 24864000000 in words is "twenty-four billion, eight hundred sixty-four million", and thus it is an aban number.