9685635648 has 112 divisors (see below), whose sum is σ = 27797394240. Its totient is φ = 2958649344.

The previous prime is 9685635647. The next prime is 9685635649. The reversal of 9685635648 is 8465365869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9685635647) and next prime (9685635649).

It is a junction number, because it is equal to n+sod(n) for n = 9685635591 and 9685635600.

It is not an unprimeable number, because it can be changed into a prime (9685635647) 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 15 ways as a sum of consecutive naturals, for example, 332986 + ... + 360902.

It is an arithmetic number, because the mean of its divisors is an integer number (248191020).

Almost surely, 2^9685635648 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 9685635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898697120).

9685635648 is an abundant number, since it is smaller than the sum of its proper divisors (18111758592).

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

9685635648 is a wasteful number, since it uses less digits than its factorization.

9685635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28084 (or 28074 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The square root of 9685635648 is about 98415.6270518051. The cubic root of 9685635648 is about 2131.6179855209.

The spelling of 9685635648 in words is "nine billion, six hundred eighty-five million, six hundred thirty-five thousand, six hundred forty-eight".