9645629680 has 160 divisors (see below), whose sum is σ = 24626995200. Its totient is φ = 3499324416.

The previous prime is 9645629671. The next prime is 9645629687. The reversal of 9645629680 is 869265469.

It is a happy number.

9645629680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645629687) by changing a digit.

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, 5597299 + ... + 5599021.

It is an arithmetic number, because the mean of its divisors is an integer number (153918720).

Almost surely, 2^9645629680 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 9645629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313497600).

9645629680 is an abundant number, since it is smaller than the sum of its proper divisors (14981365520).

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

9645629680 is a wasteful number, since it uses less digits than its factorization.

9645629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The square root of 9645629680 is about 98212.1666597372. The cubic root of 9645629680 is about 2128.6790931447.

The spelling of 9645629680 in words is "nine billion, six hundred forty-five million, six hundred twenty-nine thousand, six hundred eighty".