9406827072 has 84 divisors (see below), whose sum is σ = 27134970876. Its totient is φ = 3115607040.

The previous prime is 9406827047. The next prime is 9406827137. The reversal of 9406827072 is 2707286049.

It can be written as a sum of positive squares in 2 ways, for example, as 4764312576 + 4642514496 = 69024^2 + 68136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38422 + ... + 142442.

Almost surely, 2^9406827072 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 9406827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567485438).

9406827072 is an abundant number, since it is smaller than the sum of its proper divisors (17728143804).

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

9406827072 is a wasteful number, since it uses less digits than its factorization.

9406827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104196 (or 104183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9406827072 is about 96988.7986934574. The cubic root of 9406827072 is about 2110.9651007551.

The spelling of 9406827072 in words is "nine billion, four hundred six million, eight hundred twenty-seven thousand, seventy-two".