9758475360 has 144 divisors (see below), whose sum is σ = 33329421216. Its totient is φ = 2600024064.

The previous prime is 9758475343. The next prime is 9758475407. The reversal of 9758475360 is 635748579.

9758475360 is a `hidden beast` number, since 9 + 7 + 584 + 7 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9758475297 and 9758475306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311972 + ... + 2316188.

It is an arithmetic number, because the mean of its divisors is an integer number (231454314).

Almost surely, 2^9758475360 is an apocalyptic number.

9758475360 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 9758475360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664710608).

9758475360 is an abundant number, since it is smaller than the sum of its proper divisors (23570945856).

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

9758475360 is a wasteful number, since it uses less digits than its factorization.

9758475360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 9758475360 is about 98784.9956218048. The cubic root of 9758475360 is about 2136.9481755979.

The spelling of 9758475360 in words is "nine billion, seven hundred fifty-eight million, four hundred seventy-five thousand, three hundred sixty".