9763140816 has 240 divisors, whose sum is σ = 33106720320. Its totient is φ = 2730723840.

The previous prime is 9763140787. The next prime is 9763140853. The reversal of 9763140816 is 6180413679.

It is a happy number.

9763140816 is a `hidden beast` number, since 9 + 7 + 631 + 4 + 0 + 8 + 1 + 6 = 666.

9763140816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 797010 + ... + 809166.

It is an arithmetic number, because the mean of its divisors is an integer number (137944668).

Almost surely, 2^9763140816 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 9763140816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553360160).

9763140816 is an abundant number, since it is smaller than the sum of its proper divisors (23343579504).

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

9763140816 is a wasteful number, since it uses less digits than its factorization.

9763140816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9763140816 is about 98808.6069935206. The cubic root of 9763140816 is about 2137.2886744602.

The spelling of 9763140816 in words is "nine billion, seven hundred sixty-three million, one hundred forty thousand, eight hundred sixteen".