9722408640 has 224 divisors, whose sum is σ = 35763525120. Its totient is φ = 2191712256.

The previous prime is 9722408629. The next prime is 9722408653. The reversal of 9722408640 is 468042279.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9722408592 and 9722408601.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 480651 + ... + 500469.

Almost surely, 2^9722408640 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 9722408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881762560).

9722408640 is an abundant number, since it is smaller than the sum of its proper divisors (26041116480).

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

9722408640 is a wasteful number, since it uses less digits than its factorization.

9722408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19909 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 9722408640 is about 98602.2750244638. The cubic root of 9722408640 is about 2134.3122495237.

The spelling of 9722408640 in words is "nine billion, seven hundred twenty-two million, four hundred eight thousand, six hundred forty".