9696537840 has 320 divisors, whose sum is σ = 33791408640. Its totient is φ = 2279854080.

The previous prime is 9696537803. The next prime is 9696537847. The reversal of 9696537840 is 487356969.

It is a happy number.

9696537840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 98471²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9696537847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25995894 + ... + 25996266.

It is an arithmetic number, because the mean of its divisors is an integer number (105598152).

Almost surely, 2^9696537840 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 9696537840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895704320).

9696537840 is an abundant number, since it is smaller than the sum of its proper divisors (24094870800).

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

9696537840 is a wasteful number, since it uses less digits than its factorization.

9696537840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 9696537840 is about 98470.9999949224. Note that the first 5 decimals coincide. The cubic root of 9696537840 is about 2132.4174716679.

The spelling of 9696537840 in words is "nine billion, six hundred ninety-six million, five hundred thirty-seven thousand, eight hundred forty".