9456079449600 has 1680 divisors, whose sum is σ = 40729599567360. Its totient is φ = 2129902387200.

The previous prime is 9456079449589. The next prime is 9456079449601. The reversal of 9456079449600 is 69449706549.

9456079449600 is a `hidden beast` number, since 9 + 4 + 5 + 60 + 79 + 449 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9456079449601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4637605381 + ... + 4637607419.

Almost surely, 2^{9456079449600} is an apocalyptic number.

9456079449600 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 9456079449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364799783680).

9456079449600 is an abundant number, since it is smaller than the sum of its proper divisors (31273520117760).

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

9456079449600 is an equidigital number, since it uses as much as digits as its factorization.

9456079449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9456079449600 in words is "nine trillion, four hundred fifty-six billion, seventy-nine million, four hundred forty-nine thousand, six hundred".