9645500800 has 384 divisors, whose sum is σ = 28398807360. Its totient is φ = 3200778240.

The previous prime is 9645500791. The next prime is 9645500819. The reversal of 9645500800 is 80055469.

It is a self number, because there is not a number n which added to its sum of digits gives 9645500800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16265304 + ... + 16265896.

Almost surely, 2^9645500800 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 9645500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199403680).

9645500800 is an abundant number, since it is smaller than the sum of its proper divisors (18753306560).

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

9645500800 is a wasteful number, since it uses less digits than its factorization.

9645500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 9645500800 is about 98211.5105270253. The cubic root of 9645500800 is about 2128.6696123266.

The spelling of 9645500800 in words is "nine billion, six hundred forty-five million, five hundred thousand, eight hundred".