24728366880 has 960 divisors, whose sum is σ = 105116901120. Its totient is φ = 5356855296.

The previous prime is 24728366863. The next prime is 24728366921. The reversal of 24728366880 is 8866382742.

24728366880 is a `hidden beast` number, since 2 + 472 + 8 + 36 + 68 + 80 = 666.

It is a super-2 number, since 2×24728366880² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 177901851 + ... + 177901989.

It is an arithmetic number, because the mean of its divisors is an integer number (109496772).

Almost surely, 2^24728366880 is an apocalyptic number.

24728366880 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 24728366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52558450560).

24728366880 is an abundant number, since it is smaller than the sum of its proper divisors (80388534240).

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

24728366880 is a wasteful number, since it uses less digits than its factorization.

24728366880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 24728366880 in words is "twenty-four billion, seven hundred twenty-eight million, three hundred sixty-six thousand, eight hundred eighty".