24872747328 has 896 divisors, whose sum is σ = 94383636480. Its totient is φ = 6303744000.

The previous prime is 24872747327. The next prime is 24872747401. The reversal of 24872747328 is 82374727842.

24872747328 is a `hidden beast` number, since 2 + 48 + 7 + 274 + 7 + 328 = 666.

It is a super-2 number, since 2×24872747328² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (24872747323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130223713 + ... + 130223903.

It is an arithmetic number, because the mean of its divisors is an integer number (105338880).

Almost surely, 2^24872747328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24872747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191818240).

24872747328 is an abundant number, since it is smaller than the sum of its proper divisors (69510889152).

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

24872747328 is a wasteful number, since it uses less digits than its factorization.

24872747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 24872747328 in words is "twenty-four billion, eight hundred seventy-two million, seven hundred forty-seven thousand, three hundred twenty-eight".