9003751680 has 576 divisors, whose sum is σ = 36864995328. Its totient is φ = 1818132480.

The previous prime is 9003751657. The next prime is 9003751681. The reversal of 9003751680 is 861573009.

It is not an unprimeable number, because it can be changed into a prime (9003751681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10939749 + ... + 10940571.

It is an arithmetic number, because the mean of its divisors is an integer number (64001728).

Almost surely, 2^9003751680 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 9003751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432497664).

9003751680 is an abundant number, since it is smaller than the sum of its proper divisors (27861243648).

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

9003751680 is a wasteful number, since it uses less digits than its factorization.

9003751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 9003751680 is about 94888.1008346147. The cubic root of 9003751680 is about 2080.3728128586.

The spelling of 9003751680 in words is "nine billion, three million, seven hundred fifty-one thousand, six hundred eighty".