9767442048000 has 2112 divisors, whose sum is σ = 41334967634688. Its totient is φ = 2028876595200.

The previous prime is 9767442047977. The next prime is 9767442048011. The reversal of 9767442048000 is 8402447679.

It is a happy number.

It is a super-2 number, since 2×9767442048000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17856383727 + ... + 17856384273.

Almost surely, 2^{9767442048000} 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 9767442048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667483817344).

9767442048000 is an abundant number, since it is smaller than the sum of its proper divisors (31567525586688).

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

9767442048000 is a wasteful number, since it uses less digits than its factorization.

9767442048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 9767442048000 in words is "nine trillion, seven hundred sixty-seven billion, four hundred forty-two million, forty-eight thousand".