9785126736 has 540 divisors, whose sum is σ = 35720731956. Its totient is φ = 2490808320.

The previous prime is 9785126731. The next prime is 9785126737. The reversal of 9785126736 is 6376215879.

9785126736 is a `hidden beast` number, since 97 + 8 + 512 + 6 + 7 + 36 = 666.

9785126736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4183502400 + 5601624336 = 64680^2 + 74844^2 .

Its product of digits (3810240) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9785126731) 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 107 ways as a sum of consecutive naturals, for example, 62325570 + ... + 62325726.

Almost surely, 2^9785126736 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 9785126736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860365978).

9785126736 is an abundant number, since it is smaller than the sum of its proper divisors (25935605220).

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

9785126736 is a wasteful number, since it uses less digits than its factorization.

9785126736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 9785126736 is about 98919.7995145562. The cubic root of 9785126736 is about 2138.8918139219.

The spelling of 9785126736 in words is "nine billion, seven hundred eighty-five million, one hundred twenty-six thousand, seven hundred thirty-six".