9631407144960 has 864 divisors, whose sum is σ = 34331589452160. Its totient is φ = 2497078886400.

The previous prime is 9631407144959. The next prime is 9631407144971. The reversal of 9631407144960 is 694417041369.

9631407144960 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 407 + 144 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9631407144897 and 9631407144906.

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 47 ways as a sum of consecutive naturals, for example, 45646479255 + ... + 45646479465.

It is an arithmetic number, because the mean of its divisors is an integer number (39735635940).

Almost surely, 2^{9631407144960} is an apocalyptic number.

9631407144960 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 9631407144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165794726080).

9631407144960 is an abundant number, since it is smaller than the sum of its proper divisors (24700182307200).

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

9631407144960 is a wasteful number, since it uses less digits than its factorization.

9631407144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9631407144960 in words is "nine trillion, six hundred thirty-one billion, four hundred seven million, one hundred forty-four thousand, nine hundred sixty".