9701659968 has 504 divisors, whose sum is σ = 35015448384. Its totient is φ = 2319482880.

The previous prime is 9701659967. The next prime is 9701659987. The reversal of 9701659968 is 8699561079.

It is a super-2 number, since 2×9701659968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9701659967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27483280 + ... + 27483632.

It is an arithmetic number, because the mean of its divisors is an integer number (69475096).

Almost surely, 2^9701659968 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 9701659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507724192).

9701659968 is an abundant number, since it is smaller than the sum of its proper divisors (25313788416).

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

9701659968 is a wasteful number, since it uses less digits than its factorization.

9701659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The square root of 9701659968 is about 98497.0048681685. The cubic root of 9701659968 is about 2132.7928837561.

The spelling of 9701659968 in words is "nine billion, seven hundred one million, six hundred fifty-nine thousand, nine hundred sixty-eight".