9540684720 has 240 divisors, whose sum is σ = 36671349312. Its totient is φ = 2177556480.

The previous prime is 9540684697. The next prime is 9540684731. The reversal of 9540684720 is 274860459.

It is a happy number.

9540684720 is a `hidden beast` number, since 9 + 540 + 6 + 84 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 6657124 + ... + 6658556.

Almost surely, 2^9540684720 is an apocalyptic number.

9540684720 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 9540684720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335674656).

9540684720 is an abundant number, since it is smaller than the sum of its proper divisors (27130664592).

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

9540684720 is a wasteful number, since it uses less digits than its factorization.

9540684720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9540684720 is about 97676.4286816425. The cubic root of 9540684720 is about 2120.9308775397.

The spelling of 9540684720 in words is "nine billion, five hundred forty million, six hundred eighty-four thousand, seven hundred twenty".