9241006752 has 216 divisors, whose sum is σ = 27452640852. Its totient is φ = 2948382720.

The previous prime is 9241006739. The next prime is 9241006771. The reversal of 9241006752 is 2576001429.

It can be written as a sum of positive squares in 2 ways, for example, as 9140124816 + 100881936 = 95604^2 + 10044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47880768 + ... + 47880960.

Almost surely, 2^9241006752 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 9241006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726320426).

9241006752 is an abundant number, since it is smaller than the sum of its proper divisors (18211634100).

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

9241006752 is a wasteful number, since it uses less digits than its factorization.

9241006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9241006752 is about 96130.1552687813. The cubic root of 9241006752 is about 2098.4877057555.

The spelling of 9241006752 in words is "nine billion, two hundred forty-one million, six thousand, seven hundred fifty-two".