9725967104 has 288 divisors, whose sum is σ = 24768374400. Its totient is φ = 3715891200.

The previous prime is 9725967101. The next prime is 9725967113. The reversal of 9725967104 is 4017695279.

It is a super-2 number, since 2×9725967104² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9725967101) 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, 89229002 + ... + 89229110.

It is an arithmetic number, because the mean of its divisors is an integer number (86001300).

Almost surely, 2^9725967104 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 9725967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384187200).

9725967104 is an abundant number, since it is smaller than the sum of its proper divisors (15042407296).

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

9725967104 is a wasteful number, since it uses less digits than its factorization.

9725967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 9725967104 is about 98620.3179066058. The cubic root of 9725967104 is about 2134.5726084253.

The spelling of 9725967104 in words is "nine billion, seven hundred twenty-five million, nine hundred sixty-seven thousand, one hundred four".