9609806304000 has 2016 divisors, whose sum is σ = 41891905910400. Its totient is φ = 2194698240000.

The previous prime is 9609806303987. The next prime is 9609806304019. The reversal of 9609806304000 is 4036089069.

9609806304000 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 8 + 0 + 630 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8001503400 + ... + 8001504600.

Almost surely, 2^{9609806304000} is an apocalyptic number.

9609806304000 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 9609806304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945952955200).

9609806304000 is an abundant number, since it is smaller than the sum of its proper divisors (32282099606400).

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

9609806304000 is an frugal number, since it uses more digits than its factorization.

9609806304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9609806304000 in words is "nine trillion, six hundred nine billion, eight hundred six million, three hundred four thousand".