9459933612480 has 672 divisors, whose sum is σ = 35382393446400. Its totient is φ = 2305993826304.

The previous prime is 9459933612457. The next prime is 9459933612509. The reversal of 9459933612480 is 842163399549.

9459933612480 is a `hidden beast` number, since 9 + 4 + 5 + 9 + 9 + 3 + 3 + 612 + 4 + 8 + 0 = 666.

9459933612480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3133464411 + ... + 3133467429.

It is an arithmetic number, because the mean of its divisors is an integer number (52652371200).

Almost surely, 2^{9459933612480} is an apocalyptic number.

9459933612480 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 9459933612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691196723200).

9459933612480 is an abundant number, since it is smaller than the sum of its proper divisors (25922459833920).

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

9459933612480 is a wasteful number, since it uses less digits than its factorization.

9459933612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 9459933612480 in words is "nine trillion, four hundred fifty-nine billion, nine hundred thirty-three million, six hundred twelve thousand, four hundred eighty".