9399561600 has 768 divisors, whose sum is σ = 37482600960. Its totient is φ = 2039808000.

The previous prime is 9399561569. The next prime is 9399561617. The reversal of 9399561600 is 61659939.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9399561600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56284717 + ... + 56284883.

It is an arithmetic number, because the mean of its divisors is an integer number (48805470).

Almost surely, 2^9399561600 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 9399561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741300480).

9399561600 is an abundant number, since it is smaller than the sum of its proper divisors (28083039360).

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

9399561600 is a wasteful number, since it uses less digits than its factorization.

9399561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 9399561600 is about 96951.3362465933. The cubic root of 9399561600 is about 2110.4214846481.

The spelling of 9399561600 in words is "nine billion, three hundred ninety-nine million, five hundred sixty-one thousand, six hundred".