9688842240 has 384 divisors, whose sum is σ = 38654703360. Its totient is φ = 2013265920.

The previous prime is 9688842221. The next prime is 9688842277. The reversal of 9688842240 is 422488869.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880803835 + ... + 880803845.

It is an arithmetic number, because the mean of its divisors is an integer number (100663290).

Almost surely, 2^9688842240 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 9688842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327351680).

9688842240 is an abundant number, since it is smaller than the sum of its proper divisors (28965861120).

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

9688842240 is an frugal number, since it uses more digits than its factorization.

9688842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 9688842240 is about 98431.9167749973. The cubic root of 9688842240 is about 2131.8531955185.

It can be divided in two parts, 96888 and 42240, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 9688842240 in words is "nine billion, six hundred eighty-eight million, eight hundred forty-two thousand, two hundred forty".