24730738560 has 640 divisors, whose sum is σ = 99525888000. Its totient is φ = 5797785600.

The previous prime is 24730738553. The next prime is 24730738601. The reversal of 24730738560 is 6583703742.

24730738560 is a `hidden beast` number, since 24 + 7 + 30 + 7 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×24730738560² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17676741 + ... + 17678139.

It is an arithmetic number, because the mean of its divisors is an integer number (155509200).

Almost surely, 2^24730738560 is an apocalyptic number.

24730738560 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 24730738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762944000).

24730738560 is an abundant number, since it is smaller than the sum of its proper divisors (74795149440).

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

24730738560 is a wasteful number, since it uses less digits than its factorization.

24730738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 24730738560 in words is "twenty-four billion, seven hundred thirty million, seven hundred thirty-eight thousand, five hundred sixty".