24793464960 has 448 divisors, whose sum is σ = 96966063360. Its totient is φ = 6009292800.

The previous prime is 24793464959. The next prime is 24793464967. The reversal of 24793464960 is 6946439742.

24793464960 is a `hidden beast` number, since 2 + 4 + 7 + 93 + 464 + 96 + 0 = 666.

It is a super-2 number, since 2×24793464960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 24793464897 and 24793464906.

It is not an unprimeable number, because it can be changed into a prime (24793464967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5129745 + ... + 5134575.

Almost surely, 2^24793464960 is an apocalyptic number.

24793464960 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 24793464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48483031680).

24793464960 is an abundant number, since it is smaller than the sum of its proper divisors (72172598400).

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

24793464960 is an equidigital number, since it uses as much as digits as its factorization.

24793464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 24793464960 in words is "twenty-four billion, seven hundred ninety-three million, four hundred sixty-four thousand, nine hundred sixty".