24780163968 has 720 divisors, whose sum is σ = 91218934560. Its totient is φ = 6448619520.

The previous prime is 24780163909. The next prime is 24780164023. The reversal of 24780163968 is 86936108742.

24780163968 is a `hidden beast` number, since 2 + 478 + 0 + 163 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×24780163968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 799360113 + ... + 799360143.

Almost surely, 2^24780163968 is an apocalyptic number.

24780163968 is a gapful number since it is divisible by the number (28) 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 24780163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45609467280).

24780163968 is an abundant number, since it is smaller than the sum of its proper divisors (66438770592).

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

24780163968 is an equidigital number, since it uses as much as digits as its factorization.

24780163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 24780163968 in words is "twenty-four billion, seven hundred eighty million, one hundred sixty-three thousand, nine hundred sixty-eight".