9645636000 has 1152 divisors, whose sum is σ = 43333774848. Its totient is φ = 1824768000.

The previous prime is 9645635999. The next prime is 9645636023. The reversal of 9645636000 is 6365469.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9645636000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132131964 + ... + 132132036.

It is an arithmetic number, because the mean of its divisors is an integer number (37616124).

Almost surely, 2^9645636000 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 9645636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21666887424).

9645636000 is an abundant number, since it is smaller than the sum of its proper divisors (33688138848).

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

9645636000 is a wasteful number, since it uses less digits than its factorization.

9645636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 9645636000 is about 98212.1988349716. The cubic root of 9645636000 is about 2128.6795580617.

The spelling of 9645636000 in words is "nine billion, six hundred forty-five million, six hundred thirty-six thousand".