9645260800 has 306 divisors, whose sum is σ = 28312384568. Its totient is φ = 3192913920.

The previous prime is 9645260791. The next prime is 9645260803. The reversal of 9645260800 is 80625469.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645260803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332595186 + ... + 332595214.

Almost surely, 2^9645260800 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 9645260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156192284).

9645260800 is an abundant number, since it is smaller than the sum of its proper divisors (18667123768).

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

9645260800 is an frugal number, since it uses more digits than its factorization.

9645260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 9645260800 is about 98210.2886667176. The cubic root of 9645260800 is about 2128.6519569466.

The spelling of 9645260800 in words is "nine billion, six hundred forty-five million, two hundred sixty thousand, eight hundred".