9545215680 has 1512 divisors, whose sum is σ = 46259989776. Its totient is φ = 1788272640.

The previous prime is 9545215651. The next prime is 9545215681. The reversal of 9545215680 is 865125459.

9545215680 is a `hidden beast` number, since 9 + 545 + 21 + 5 + 6 + 80 = 666.

It is a super-2 number, since 2×9545215680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9545215681) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 221981739 + ... + 221981781.

Almost surely, 2^9545215680 is an apocalyptic number.

9545215680 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 9545215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23129994888).

9545215680 is an abundant number, since it is smaller than the sum of its proper divisors (36714774096).

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

9545215680 is a wasteful number, since it uses less digits than its factorization.

9545215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 9545215680 is about 97699.6196512556. The cubic root of 9545215680 is about 2121.2665743435.

The spelling of 9545215680 in words is "nine billion, five hundred forty-five million, two hundred fifteen thousand, six hundred eighty".