9121824768 has 152 divisors (see below), whose sum is σ = 27816571072. Its totient is φ = 2604662784.

The previous prime is 9121824743. The next prime is 9121824839. The reversal of 9121824768 is 8674281219.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5504196 + ... + 5505852.

Almost surely, 2^9121824768 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 9121824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908285536).

9121824768 is an abundant number, since it is smaller than the sum of its proper divisors (18694746304).

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

9121824768 is an frugal number, since it uses more digits than its factorization.

9121824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1669 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 9121824768 is about 95508.2445027653. The cubic root of 9121824768 is about 2089.4271888557.

The spelling of 9121824768 in words is "nine billion, one hundred twenty-one million, eight hundred twenty-four thousand, seven hundred sixty-eight".