9754450560 has 192 divisors, whose sum is σ = 33737656680. Its totient is φ = 2596995072.

The previous prime is 9754450529. The next prime is 9754450591. The reversal of 9754450560 is 650544579.

9754450560 is a `hidden beast` number, since 9 + 7 + 544 + 50 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9754450529) and next prime (9754450591).

It can be written as a sum of positive squares in 4 ways, for example, as 7494018624 + 2260431936 = 86568^2 + 47544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5488392 + ... + 5490168.

Almost surely, 2^9754450560 is an apocalyptic number.

9754450560 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 9754450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868828340).

9754450560 is an abundant number, since it is smaller than the sum of its proper divisors (23983206120).

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

9754450560 is a wasteful number, since it uses less digits than its factorization.

9754450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 9754450560 is about 98764.6220060604. The cubic root of 9754450560 is about 2136.6543465105.

The spelling of 9754450560 in words is "nine billion, seven hundred fifty-four million, four hundred fifty thousand, five hundred sixty".