24728680080 has 320 divisors, whose sum is σ = 97126283520. Its totient is φ = 5728886784.

The previous prime is 24728680051. The next prime is 24728680087. The reversal of 24728680080 is 8008682742.

It is a happy number.

It is a super-2 number, since 2×24728680080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (24728680087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451459 + ... + 503261.

It is an arithmetic number, because the mean of its divisors is an integer number (303519636).

Almost surely, 2^24728680080 is an apocalyptic number.

24728680080 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 24728680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48563141760).

24728680080 is an abundant number, since it is smaller than the sum of its proper divisors (72397603440).

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

24728680080 is a wasteful number, since it uses less digits than its factorization.

24728680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51855 (or 51843 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 24728680080 in words is "twenty-four billion, seven hundred twenty-eight million, six hundred eighty thousand, eighty".