9465465600 has 810 divisors, whose sum is σ = 38066873460. Its totient is φ = 2314137600.

The previous prime is 9465465599. The next prime is 9465465613. The reversal of 9465465600 is 65645649.

9465465600 is a `hidden beast` number, since 9 + 46 + 5 + 46 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-3 number, since 3×9465465600³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 305337585 + ... + 305337615.

Almost surely, 2^9465465600 is an apocalyptic number.

9465465600 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 9465465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033436730).

9465465600 is an abundant number, since it is smaller than the sum of its proper divisors (28601407860).

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

9465465600 is a wasteful number, since it uses less digits than its factorization.

9465465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 9465465600 is about 97290.6244198278. The cubic root of 9465465600 is about 2115.3423317914.

The spelling of 9465465600 in words is "nine billion, four hundred sixty-five million, four hundred sixty-five thousand, six hundred".