24742467072 has 120 divisors (see below), whose sum is σ = 72211974120. Its totient is φ = 8154685440.

The previous prime is 24742467049. The next prime is 24742467077. The reversal of 24742467072 is 27076424742.

24742467072 is a `hidden beast` number, since 2 + 474 + 2 + 46 + 70 + 72 = 666.

It is a super-2 number, since 2×24742467072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24742467077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379947 + ... + 440277.

It is an arithmetic number, because the mean of its divisors is an integer number (601766451).

Almost surely, 2^24742467072 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 24742467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36105987060).

24742467072 is an abundant number, since it is smaller than the sum of its proper divisors (47469507048).

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

24742467072 is an equidigital number, since it uses as much as digits as its factorization.

24742467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60444 (or 60425 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

It can be divided in two parts, 247424670 and 72, that added together give a palindrome (247424742).

The spelling of 24742467072 in words is "twenty-four billion, seven hundred forty-two million, four hundred sixty-seven thousand, seventy-two".