9533496960 has 768 divisors, whose sum is σ = 38576563200. Its totient is φ = 2209628160.

The previous prime is 9533496911. The next prime is 9533496961. The reversal of 9533496960 is 696943359.

9533496960 is a `hidden beast` number, since 9 + 533 + 49 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9533496897 and 9533496906.

It is not an unprimeable number, because it can be changed into a prime (9533496961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257662062 + ... + 257662098.

It is an arithmetic number, because the mean of its divisors is an integer number (50229900).

Almost surely, 2^9533496960 is an apocalyptic number.

9533496960 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 9533496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19288281600).

9533496960 is an abundant number, since it is smaller than the sum of its proper divisors (29043066240).

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

9533496960 is a wasteful number, since it uses less digits than its factorization.

9533496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The square root of 9533496960 is about 97639.6280205942. The cubic root of 9533496960 is about 2120.3981215047.

The spelling of 9533496960 in words is "nine billion, five hundred thirty-three million, four hundred ninety-six thousand, nine hundred sixty".