9749004000 has 384 divisors, whose sum is σ = 33512693760. Its totient is φ = 2474496000.

The previous prime is 9749003939. The next prime is 9749004011. The reversal of 9749004000 is 4009479.

9749004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27155821 + ... + 27156179.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^9749004000 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 9749004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756346880).

9749004000 is an abundant number, since it is smaller than the sum of its proper divisors (23763689760).

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

9749004000 is a wasteful number, since it uses less digits than its factorization.

9749004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 9749004000 is about 98737.0447198011. The cubic root of 9749004000 is about 2136.2565936188.

The spelling of 9749004000 in words is "nine billion, seven hundred forty-nine million, four thousand".