9658496640 has 256 divisors, whose sum is σ = 33274684800. Its totient is φ = 2368880640.

The previous prime is 9658496611. The next prime is 9658496657. The reversal of 9658496640 is 466948569.

It is a happy number.

9658496640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9459330 + ... + 9460350.

Almost surely, 2^9658496640 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 9658496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637342400).

9658496640 is an abundant number, since it is smaller than the sum of its proper divisors (23616188160).

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

9658496640 is a wasteful number, since it uses less digits than its factorization.

9658496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The square root of 9658496640 is about 98277.6507655733. The cubic root of 9658496640 is about 2129.6252024090.

The spelling of 9658496640 in words is "nine billion, six hundred fifty-eight million, four hundred ninety-six thousand, six hundred forty".