9538824960 has 864 divisors, whose sum is σ = 40712555520. Its totient is φ = 2014543872.

The previous prime is 9538824931. The next prime is 9538824991. The reversal of 9538824960 is 694288359.

9538824960 is a `hidden beast` number, since 9 + 538 + 8 + 2 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9538824897 and 9538824906.

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, 68624571 + ... + 68624709.

Almost surely, 2^9538824960 is an apocalyptic number.

9538824960 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 9538824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356277760).

9538824960 is an abundant number, since it is smaller than the sum of its proper divisors (31173730560).

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

9538824960 is a wasteful number, since it uses less digits than its factorization.

9538824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9538824960 is about 97666.9082135807. The cubic root of 9538824960 is about 2120.7930579860.

The spelling of 9538824960 in words is "nine billion, five hundred thirty-eight million, eight hundred twenty-four thousand, nine hundred sixty".