9460505600 has 528 divisors, whose sum is σ = 30020745216. Its totient is φ = 2875392000.

The previous prime is 9460505573. The next prime is 9460505603. The reversal of 9460505600 is 65050649.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9460505603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72217535 + ... + 72217665.

It is an arithmetic number, because the mean of its divisors is an integer number (56857472).

Almost surely, 2^9460505600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9460505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010372608).

9460505600 is an abundant number, since it is smaller than the sum of its proper divisors (20560239616).

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

9460505600 is a wasteful number, since it uses less digits than its factorization.

9460505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 9460505600 is about 97265.1304425178. The cubic root of 9460505600 is about 2114.9727802871.

The spelling of 9460505600 in words is "nine billion, four hundred sixty million, five hundred five thousand, six hundred".