9816680952 has 192 divisors, whose sum is σ = 30116136960. Its totient is φ = 2977430400.

The previous prime is 9816680941. The next prime is 9816680953. The reversal of 9816680952 is 2590866189.

It is a happy number.

9816680952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9816680953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1791577 + ... + 1797047.

It is an arithmetic number, because the mean of its divisors is an integer number (156854880).

Almost surely, 2^9816680952 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 9816680952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

9816680952 is an abundant number, since it is smaller than the sum of its proper divisors (20299456008).

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

9816680952 is a wasteful number, since it uses less digits than its factorization.

9816680952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9816680952 is about 99079.1650752064. The cubic root of 9816680952 is about 2141.1884504193.

The spelling of 9816680952 in words is "nine billion, eight hundred sixteen million, six hundred eighty thousand, nine hundred fifty-two".