9540218880 has 468 divisors, whose sum is σ = 34822496592. Its totient is φ = 2508226560.

The previous prime is 9540218867. The next prime is 9540218903. The reversal of 9540218880 is 888120459.

It is a happy number.

9540218880 is a `hidden beast` number, since 9 + 540 + 21 + 8 + 8 + 80 = 666.

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 35 ways as a sum of consecutive naturals, for example, 134369245 + ... + 134369315.

It is an arithmetic number, because the mean of its divisors is an integer number (74407044).

Almost surely, 2^9540218880 is an apocalyptic number.

9540218880 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 9540218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411248296).

9540218880 is an abundant number, since it is smaller than the sum of its proper divisors (25282277712).

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

9540218880 is an frugal number, since it uses more digits than its factorization.

9540218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 9540218880 is about 97674.0440444645. The cubic root of 9540218880 is about 2120.8963576371.

The spelling of 9540218880 in words is "nine billion, five hundred forty million, two hundred eighteen thousand, eight hundred eighty".