9149826672 has 240 divisors, whose sum is σ = 30004865280. Its totient is φ = 2548896768.

The previous prime is 9149826641. The next prime is 9149826727. The reversal of 9149826672 is 2766289419.

9149826672 is a `hidden beast` number, since 91 + 498 + 2 + 6 + 67 + 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 47 ways as a sum of consecutive naturals, for example, 8147103 + ... + 8148225.

It is an arithmetic number, because the mean of its divisors is an integer number (125020272).

Almost surely, 2^9149826672 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 9149826672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002432640).

9149826672 is an abundant number, since it is smaller than the sum of its proper divisors (20855038608).

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

9149826672 is a wasteful number, since it uses less digits than its factorization.

9149826672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9149826672 is about 95654.7263442847. The cubic root of 9149826672 is about 2091.5630251347.

The spelling of 9149826672 in words is "nine billion, one hundred forty-nine million, eight hundred twenty-six thousand, six hundred seventy-two".