9796458672 has 960 divisors, whose sum is σ = 40080768000. Its totient is φ = 2194698240.

The previous prime is 9796458649. The next prime is 9796458673. The reversal of 9796458672 is 2768546979.

9796458672 is a `hidden beast` number, since 97 + 96 + 458 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (45722880) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9796458673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134198028 + ... + 134198100.

It is an arithmetic number, because the mean of its divisors is an integer number (41750800).

Almost surely, 2^9796458672 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 9796458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040384000).

9796458672 is an abundant number, since it is smaller than the sum of its proper divisors (30284309328).

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

9796458672 is a wasteful number, since it uses less digits than its factorization.

9796458672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 9796458672 is about 98977.0613425151. The cubic root of 9796458672 is about 2139.7171629577.

The spelling of 9796458672 in words is "nine billion, seven hundred ninety-six million, four hundred fifty-eight thousand, six hundred seventy-two".