9726847200 has 576 divisors, whose sum is σ = 41967313920. Its totient is φ = 2125854720.

The previous prime is 9726847189. The next prime is 9726847201. The reversal of 9726847200 is 27486279.

It is a super-2 number, since 2×9726847200² (a number of 21 digits) contains 22 as substring.

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 (9726847201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3476202 + ... + 3478998.

It is an arithmetic number, because the mean of its divisors is an integer number (72859920).

Almost surely, 2^9726847200 is an apocalyptic number.

9726847200 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 9726847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983656960).

9726847200 is an abundant number, since it is smaller than the sum of its proper divisors (32240466720).

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

9726847200 is a wasteful number, since it uses less digits than its factorization.

9726847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2837 counting only the distinct ones).

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

The square root of 9726847200 is about 98624.7798476630. The cubic root of 9726847200 is about 2134.6369918136.

The spelling of 9726847200 in words is "nine billion, seven hundred twenty-six million, eight hundred forty-seven thousand, two hundred".