9921748000 has 96 divisors (see below), whose sum is σ = 24570943488. Its totient is φ = 3937248000.

The previous prime is 9921747977. The next prime is 9921748009. The reversal of 9921748000 is 8471299.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9921748009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498235 + ... + 517765.

It is an arithmetic number, because the mean of its divisors is an integer number (255947328).

Almost surely, 2^9921748000 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 9921748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285471744).

9921748000 is an abundant number, since it is smaller than the sum of its proper divisors (14649195488).

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

9921748000 is a wasteful number, since it uses less digits than its factorization.

9921748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19683 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 9921748000 is about 99607.9715685447. The cubic root of 9921748000 is about 2148.8003402916.

The spelling of 9921748000 in words is "nine billion, nine hundred twenty-one million, seven hundred forty-eight thousand".