9688540896 has 240 divisors, whose sum is σ = 29559188736. Its totient is φ = 3111001344.

The previous prime is 9688540891. The next prime is 9688540913. The reversal of 9688540896 is 6980458869.

9688540896 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 540 + 89 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9688540891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8161615 + ... + 8162801.

Almost surely, 2^9688540896 is an apocalyptic number.

9688540896 is a gapful number since it is divisible by the number (96) 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 9688540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779594368).

9688540896 is an abundant number, since it is smaller than the sum of its proper divisors (19870647840).

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

9688540896 is a wasteful number, since it uses less digits than its factorization.

9688540896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 9688540896 is about 98430.3860400842. The cubic root of 9688540896 is about 2131.8310935372.

The spelling of 9688540896 in words is "nine billion, six hundred eighty-eight million, five hundred forty thousand, eight hundred ninety-six".