9867216672 has 144 divisors (see below), whose sum is σ = 29052511488. Its totient is φ = 3173368320.

The previous prime is 9867216659. The next prime is 9867216673. The reversal of 9867216672 is 2766127689.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9867216673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3328663 + ... + 3331625.

It is an arithmetic number, because the mean of its divisors is an integer number (201753552).

Almost surely, 2^9867216672 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 9867216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526255744).

9867216672 is an abundant number, since it is smaller than the sum of its proper divisors (19185294816).

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

9867216672 is a wasteful number, since it uses less digits than its factorization.

9867216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3372 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 9867216672 is about 99333.8646786684. The cubic root of 9867216672 is about 2144.8564025996.

The spelling of 9867216672 in words is "nine billion, eight hundred sixty-seven million, two hundred sixteen thousand, six hundred seventy-two".