9766103424 has 256 divisors, whose sum is σ = 34246540800. Its totient is φ = 2387312640.

The previous prime is 9766103377. The next prime is 9766103429. The reversal of 9766103424 is 4243016679.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766103429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492942 + ... + 512370.

It is an arithmetic number, because the mean of its divisors is an integer number (133775550).

Almost surely, 2^9766103424 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 9766103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123270400).

9766103424 is an abundant number, since it is smaller than the sum of its proper divisors (24480437376).

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

9766103424 is a wasteful number, since it uses less digits than its factorization.

9766103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19481 (or 19469 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 9766103424 is about 98823.5975058589. The cubic root of 9766103424 is about 2137.5048380999.

The spelling of 9766103424 in words is "nine billion, seven hundred sixty-six million, one hundred three thousand, four hundred twenty-four".