9540609840 has 640 divisors, whose sum is σ = 36459571200. Its totient is φ = 2284277760.

The previous prime is 9540609811. The next prime is 9540609857. The reversal of 9540609840 is 489060459.

It is a happy number.

9540609840 is a `hidden beast` number, since 9 + 540 + 60 + 9 + 8 + 40 = 666.

It is a super-3 number, since 3×9540609840³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 92627229 + ... + 92627331.

It is an arithmetic number, because the mean of its divisors is an integer number (56968080).

Almost surely, 2^9540609840 is an apocalyptic number.

9540609840 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 9540609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229785600).

9540609840 is an abundant number, since it is smaller than the sum of its proper divisors (26918961360).

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

9540609840 is a wasteful number, since it uses less digits than its factorization.

9540609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9540609840 is about 97676.0453744929. The cubic root of 9540609840 is about 2120.9253288213.

The spelling of 9540609840 in words is "nine billion, five hundred forty million, six hundred nine thousand, eight hundred forty".