9007746048 has 528 divisors, whose sum is σ = 31830031200. Its totient is φ = 2508226560.

The previous prime is 9007746047. The next prime is 9007746067. The reversal of 9007746048 is 8406477009.

It is a super-3 number, since 3×9007746048³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9007745994 and 9007746012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007746047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82639818 + ... + 82639926.

It is an arithmetic number, because the mean of its divisors is an integer number (60284150).

Almost surely, 2^9007746048 is an apocalyptic number.

9007746048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915015600).

9007746048 is an abundant number, since it is smaller than the sum of its proper divisors (22822285152).

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

9007746048 is a wasteful number, since it uses less digits than its factorization.

9007746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9007746048 is about 94909.1462821155. The cubic root of 9007746048 is about 2080.6804085645.

The spelling of 9007746048 in words is "nine billion, seven million, seven hundred forty-six thousand, forty-eight".