9742005520 has 80 divisors (see below), whose sum is σ = 24417030960. Its totient is φ = 3593428992.

The previous prime is 9742005509. The next prime is 9742005529. The reversal of 9742005520 is 255002479.

It can be written as a sum of positive squares in 8 ways, for example, as 254466304 + 9487539216 = 15952^2 + 97404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9742005529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1170012 + ... + 1178308.

It is an arithmetic number, because the mean of its divisors is an integer number (305212887).

Almost surely, 2^9742005520 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 9742005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208515480).

9742005520 is an abundant number, since it is smaller than the sum of its proper divisors (14675025440).

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

9742005520 is a wasteful number, since it uses less digits than its factorization.

9742005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 9742005520 is about 98701.5983659839. The cubic root of 9742005520 is about 2135.7452891488.

Adding to 9742005520 its reverse (255002479), we get a palindrome (9997007999).

The spelling of 9742005520 in words is "nine billion, seven hundred forty-two million, five thousand, five hundred twenty".