9754338960 has 180 divisors, whose sum is σ = 33105355452. Its totient is φ = 2573885952.

The previous prime is 9754338953. The next prime is 9754338977. The reversal of 9754338960 is 698334579.

9754338960 is a `hidden beast` number, since 9 + 7 + 543 + 3 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4963484304 + 4790854656 = 70452^2 + 69216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 9754338897 and 9754338906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7637842 + ... + 7639118.

Almost surely, 2^9754338960 is an apocalyptic number.

9754338960 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 9754338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552677726).

9754338960 is an abundant number, since it is smaller than the sum of its proper divisors (23351016492).

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

9754338960 is a wasteful number, since it uses less digits than its factorization.

9754338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9754338960 is about 98764.0570248104. The cubic root of 9754338960 is about 2136.6461980408.

It can be divided in two parts, 97543 and 38960, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 9754338960 in words is "nine billion, seven hundred fifty-four million, three hundred thirty-eight thousand, nine hundred sixty".