9552684960 has 576 divisors, whose sum is σ = 40419025920. Its totient is φ = 2000609280.

The previous prime is 9552684919. The next prime is 9552684983. The reversal of 9552684960 is 694862559.

It is a happy number.

9552684960 is a `hidden beast` number, since 9 + 552 + 6 + 84 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9552684897 and 9552684906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35249625 + ... + 35249895.

It is an arithmetic number, because the mean of its divisors is an integer number (70171920).

Almost surely, 2^9552684960 is an apocalyptic number.

9552684960 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 9552684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960).

9552684960 is an abundant number, since it is smaller than the sum of its proper divisors (30866340960).

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

9552684960 is a wasteful number, since it uses less digits than its factorization.

9552684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 9552684960 is about 97737.8379134714. The cubic root of 9552684960 is about 2121.8197381313.

The spelling of 9552684960 in words is "nine billion, five hundred fifty-two million, six hundred eighty-four thousand, nine hundred sixty".