9736796160 has 1152 divisors, whose sum is σ = 44073469440. Its totient is φ = 2006581248.

The previous prime is 9736796159. The next prime is 9736796171. The reversal of 9736796160 is 616976379.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9736796160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9736796097 and 9736796106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437099 + ... + 226437141.

It is an arithmetic number, because the mean of its divisors is an integer number (38258220).

Almost surely, 2^9736796160 is an apocalyptic number.

9736796160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9736796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036734720).

9736796160 is an abundant number, since it is smaller than the sum of its proper divisors (34336673280).

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

9736796160 is a wasteful number, since it uses less digits than its factorization.

9736796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 9736796160 is about 98675.2053962899. The cubic root of 9736796160 is about 2135.3645376439.

The spelling of 9736796160 in words is "nine billion, seven hundred thirty-six million, seven hundred ninety-six thousand, one hundred sixty".