9727016820 has 96 divisors (see below), whose sum is σ = 28867104000. Its totient is φ = 2438805504.

The previous prime is 9727016801. The next prime is 9727016857. The reversal of 9727016820 is 286107279.

It is a super-2 number, since 2×9727016820² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126881 + ... + 1135479.

It is an arithmetic number, because the mean of its divisors is an integer number (300699000).

Almost surely, 2^9727016820 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 9727016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433552000).

9727016820 is an abundant number, since it is smaller than the sum of its proper divisors (19140087180).

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

9727016820 is a wasteful number, since it uses less digits than its factorization.

9727016820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 9727016820 is about 98625.6397697881. The cubic root of 9727016820 is about 2134.6493999117.

The spelling of 9727016820 in words is "nine billion, seven hundred twenty-seven million, sixteen thousand, eight hundred twenty".