9652656000 has 512 divisors, whose sum is σ = 35642880000. Its totient is φ = 2294784000.

The previous prime is 9652655983. The next prime is 9652656011. The reversal of 9652656000 is 6562569.

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 9652656000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19343751 + ... + 19344249.

It is an arithmetic number, because the mean of its divisors is an integer number (69615000).

Almost surely, 2^9652656000 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 9652656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440000).

9652656000 is an abundant number, since it is smaller than the sum of its proper divisors (25990224000).

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

9652656000 is a wasteful number, since it uses less digits than its factorization.

9652656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 9652656000 is about 98247.9312759307. The cubic root of 9652656000 is about 2129.1958435874.

The spelling of 9652656000 in words is "nine billion, six hundred fifty-two million, six hundred fifty-six thousand".