9748823040 has 440 divisors, whose sum is σ = 38127946032. Its totient is φ = 2362245120.

The previous prime is 9748822999. The next prime is 9748823041. The reversal of 9748823040 is 403288479.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748823041) 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 39 ways as a sum of consecutive naturals, for example, 4560852 + ... + 4562988.

Almost surely, 2^9748823040 is an apocalyptic number.

9748823040 is a gapful number since it is divisible by the number (90) 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 9748823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19063973016).

9748823040 is an abundant number, since it is smaller than the sum of its proper divisors (28379122992).

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

9748823040 is a wasteful number, since it uses less digits than its factorization.

9748823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9748823040 is about 98736.1283421626. The cubic root of 9748823040 is about 2136.2433758793.

The spelling of 9748823040 in words is "nine billion, seven hundred forty-eight million, eight hundred twenty-three thousand, forty".