9785767068 has 486 divisors, whose sum is σ = 33643628928. Its totient is φ = 2389020480.

The previous prime is 9785767037. The next prime is 9785767099. The reversal of 9785767068 is 8607675879.

9785767068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9785767037) and next prime (9785767099).

It is a super-2 number, since 2×9785767068² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9785766996 and 9785767014.

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 161 ways as a sum of consecutive naturals, for example, 77053221 + ... + 77053347.

Almost surely, 2^9785767068 is an apocalyptic number.

9785767068 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9785767068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821814464).

9785767068 is an abundant number, since it is smaller than the sum of its proper divisors (23857861860).

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

9785767068 is a wasteful number, since it uses less digits than its factorization.

9785767068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 9785767068 is about 98923.0360836140. The cubic root of 9785767068 is about 2138.9384687766.

The spelling of 9785767068 in words is "nine billion, seven hundred eighty-five million, seven hundred sixty-seven thousand, sixty-eight".