24561427968 has 1080 divisors, whose sum is σ = 96786930240. Its totient is φ = 5960908800.

The previous prime is 24561427883. The next prime is 24561427981. The reversal of 24561427968 is 86972416542.

24561427968 is a `hidden beast` number, since 2 + 4 + 561 + 4 + 2 + 79 + 6 + 8 = 666.

Its product of digits (5806080) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 792304113 + ... + 792304143.

It is an arithmetic number, because the mean of its divisors is an integer number (89617528).

Almost surely, 2^24561427968 is an apocalyptic number.

24561427968 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 24561427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48393465120).

24561427968 is an abundant number, since it is smaller than the sum of its proper divisors (72225502272).

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

24561427968 is a wasteful number, since it uses less digits than its factorization.

24561427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 24561427968 in words is "twenty-four billion, five hundred sixty-one million, four hundred twenty-seven thousand, nine hundred sixty-eight".