9638679120 has 160 divisors (see below), whose sum is σ = 34247308032. Its totient is φ = 2196750336.

The previous prime is 9638679077. The next prime is 9638679121. The reversal of 9638679120 is 219768369.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9638679121) 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 31 ways as a sum of consecutive naturals, for example, 584914 + ... + 601166.

Almost surely, 2^9638679120 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 9638679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123654016).

9638679120 is an abundant number, since it is smaller than the sum of its proper divisors (24608628912).

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

9638679120 is a wasteful number, since it uses less digits than its factorization.

9638679120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16629 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9638679120 is about 98176.7748502669. The cubic root of 9638679120 is about 2128.1676675039.

The spelling of 9638679120 in words is "nine billion, six hundred thirty-eight million, six hundred seventy-nine thousand, one hundred twenty".