9609777408000 has 3072 divisors, whose sum is σ = 43095512678400. Its totient is φ = 1855586304000.

The previous prime is 9609777407999. The next prime is 9609777408053. The reversal of 9609777408000 is 8047779069.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 121642751961 + ... + 121642752039.

It is an arithmetic number, because the mean of its divisors is an integer number (14028487200).

Almost surely, 2^{9609777408000} 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 9609777408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547756339200).

9609777408000 is an abundant number, since it is smaller than the sum of its proper divisors (33485735270400).

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

9609777408000 is a wasteful number, since it uses less digits than its factorization.

9609777408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 9609777408000 in words is "nine trillion, six hundred nine billion, seven hundred seventy-seven million, four hundred eight thousand".