9765264000 has 256 divisors, whose sum is σ = 32639967360. Its totient is φ = 2582528000.

The previous prime is 9765263983. The next prime is 9765264001. The reversal of 9765264000 is 4625679.

It is a self number, because there is not a number n which added to its sum of digits gives 9765264000.

It is not an unprimeable number, because it can be changed into a prime (9765264001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6287224 + ... + 6288776.

Almost surely, 2^9765264000 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 9765264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319983680).

9765264000 is an abundant number, since it is smaller than the sum of its proper divisors (22874703360).

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

9765264000 is a wasteful number, since it uses less digits than its factorization.

9765264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 9765264000 is about 98819.3503318050. The cubic root of 9765264000 is about 2137.4435948318.

Adding to 9765264000 its reverse (4625679), we get a palindrome (9769889679).

The spelling of 9765264000 in words is "nine billion, seven hundred sixty-five million, two hundred sixty-four thousand".