9675072000 has 640 divisors, whose sum is σ = 39067142400. Its totient is φ = 2340864000.

The previous prime is 9675071993. The next prime is 9675072031. The reversal of 9675072000 is 2705769.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007746 + ... + 19008254.

It is an arithmetic number, because the mean of its divisors is an integer number (61042410).

Almost surely, 2^9675072000 is an apocalyptic number.

9675072000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9675072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533571200).

9675072000 is an abundant number, since it is smaller than the sum of its proper divisors (29392070400).

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

9675072000 is a wasteful number, since it uses less digits than its factorization.

9675072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 9675072000 is about 98361.9438604179. The cubic root of 9675072000 is about 2130.8427532025.

Adding to 9675072000 its reverse (2705769), we get a palindrome (9677777769).

The spelling of 9675072000 in words is "nine billion, six hundred seventy-five million, seventy-two thousand".