9675045936 has 240 divisors, whose sum is σ = 30226160640. Its totient is φ = 2875875840.

The previous prime is 9675045871. The next prime is 9675045937. The reversal of 9675045936 is 6395405769.

9675045936 is a `hidden beast` number, since 96 + 75 + 0 + 459 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (9675045937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3136651 + ... + 3139733.

It is an arithmetic number, because the mean of its divisors is an integer number (125942336).

Almost surely, 2^9675045936 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 9675045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113080320).

9675045936 is an abundant number, since it is smaller than the sum of its proper divisors (20551114704).

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

9675045936 is a wasteful number, since it uses less digits than its factorization.

9675045936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 9675045936 is about 98361.8113700637. The cubic root of 9675045936 is about 2130.8408397512.

The spelling of 9675045936 in words is "nine billion, six hundred seventy-five million, forty-five thousand, nine hundred thirty-six".