9119964672 has 540 divisors, whose sum is σ = 33293248560. Its totient is φ = 2395201536.

The previous prime is 9119964613. The next prime is 9119964691. The reversal of 9119964672 is 2764699119.

It is a happy number.

9119964672 is a `hidden beast` number, since 91 + 1 + 9 + 96 + 467 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38158729 + ... + 38158967.

It is an arithmetic number, because the mean of its divisors is an integer number (61654164).

Almost surely, 2^9119964672 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 9119964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646624280).

9119964672 is an abundant number, since it is smaller than the sum of its proper divisors (24173283888).

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

9119964672 is a wasteful number, since it uses less digits than its factorization.

9119964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 264 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9119964672 is about 95498.5061244415. The cubic root of 9119964672 is about 2089.2851558940.

The spelling of 9119964672 in words is "nine billion, one hundred nineteen million, nine hundred sixty-four thousand, six hundred seventy-two".