9106647264 has 480 divisors, whose sum is σ = 31965373440. Its totient is φ = 2506982400.

The previous prime is 9106647257. The next prime is 9106647269. The reversal of 9106647264 is 4627466019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9106647269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29281669 + ... + 29281979.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 2^9106647264 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 9106647264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982686720).

9106647264 is an abundant number, since it is smaller than the sum of its proper divisors (22858726176).

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

9106647264 is a wasteful number, since it uses less digits than its factorization.

9106647264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9106647264 is about 95428.7549117141. The cubic root of 9106647264 is about 2088.2677024976.

The spelling of 9106647264 in words is "nine billion, one hundred six million, six hundred forty-seven thousand, two hundred sixty-four".