9672774144 has 320 divisors, whose sum is σ = 30640896000. Its totient is φ = 2678538240.

The previous prime is 9672774143. The next prime is 9672774151. The reversal of 9672774144 is 4414772769.

It is not an unprimeable number, because it can be changed into a prime (9672774143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9309177 + ... + 9310215.

It is an arithmetic number, because the mean of its divisors is an integer number (95752800).

Almost surely, 2^9672774144 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 9672774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448000).

9672774144 is an abundant number, since it is smaller than the sum of its proper divisors (20968121856).

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

9672774144 is a wasteful number, since it uses less digits than its factorization.

9672774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1103 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 9672774144 is about 98350.2625517594. The cubic root of 9672774144 is about 2130.6740461896.

The spelling of 9672774144 in words is "nine billion, six hundred seventy-two million, seven hundred seventy-four thousand, one hundred forty-four".