9468605160 has 960 divisors, whose sum is σ = 40421937600. Its totient is φ = 1975228416.

The previous prime is 9468605123. The next prime is 9468605161. The reversal of 9468605160 is 615068649.

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 (9468605161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 129706884 + ... + 129706956.

It is an arithmetic number, because the mean of its divisors is an integer number (42106185).

Almost surely, 2^9468605160 is an apocalyptic number.

9468605160 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 9468605160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210968800).

9468605160 is an abundant number, since it is smaller than the sum of its proper divisors (30953332440).

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

9468605160 is a wasteful number, since it uses less digits than its factorization.

9468605160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

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

The square root of 9468605160 is about 97306.7580386892. The cubic root of 9468605160 is about 2115.5761822367.

The spelling of 9468605160 in words is "nine billion, four hundred sixty-eight million, six hundred five thousand, one hundred sixty".