9479871460800 has 672 divisors, whose sum is σ = 39174699603200. Its totient is φ = 2210688184320.

The previous prime is 9479871460769. The next prime is 9479871460853. The reversal of 9479871460800 is 80641789749.

9479871460800 is a `hidden beast` number, since 9 + 4 + 7 + 9 + 8 + 7 + 14 + 608 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10226187 + ... + 11114613.

Almost surely, 2^{9479871460800} is an apocalyptic number.

9479871460800 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 9479871460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587349801600).

9479871460800 is an abundant number, since it is smaller than the sum of its proper divisors (29694828142400).

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

9479871460800 is a wasteful number, since it uses less digits than its factorization.

9479871460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888490 (or 888469 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 9479871460800 in words is "nine trillion, four hundred seventy-nine billion, eight hundred seventy-one million, four hundred sixty thousand, eight hundred".