9645977600 has 156 divisors (see below), whose sum is σ = 27338150544. Its totient is φ = 3306946560.

The previous prime is 9645977591. The next prime is 9645977603. The reversal of 9645977600 is 67795469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645977603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 710072 + ... + 723528.

Almost surely, 2^9645977600 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 9645977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669075272).

9645977600 is an abundant number, since it is smaller than the sum of its proper divisors (17692172944).

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

9645977600 is a wasteful number, since it uses less digits than its factorization.

9645977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 53.

The square root of 9645977600 is about 98213.9379110725. The cubic root of 9645977600 is about 2128.7046868126.

The spelling of 9645977600 in words is "nine billion, six hundred forty-five million, nine hundred seventy-seven thousand, six hundred".