9742217472 has 648 divisors, whose sum is σ = 34441616664. Its totient is φ = 2622357504.

The previous prime is 9742217467. The next prime is 9742217473. The reversal of 9742217472 is 2747122479.

9742217472 is a `hidden beast` number, since 97 + 422 + 1 + 74 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1916338176 + 7825879296 = 43776^2 + 88464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9742217473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183815398 + ... + 183815450.

It is an arithmetic number, because the mean of its divisors is an integer number (53150643).

Almost surely, 2^9742217472 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 9742217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220808332).

9742217472 is an abundant number, since it is smaller than the sum of its proper divisors (24699399192).

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

9742217472 is a wasteful number, since it uses less digits than its factorization.

9742217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 9742217472 is about 98702.6720610947. The cubic root of 9742217472 is about 2135.7607778214.

The spelling of 9742217472 in words is "nine billion, seven hundred forty-two million, two hundred seventeen thousand, four hundred seventy-two".