9806768967 has 32 divisors (see below), whose sum is σ = 13573909440. Its totient is φ = 6293422080.

The previous prime is 9806768863. The next prime is 9806769013. The reversal of 9806768967 is 7698676089.

It is a happy number.

It is not a de Polignac number, because 9806768967 - 2²⁴ = 9789991751 is a prime.

It is a super-2 number, since 2×9806768967² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9806768898 and 9806768907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9806768567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640103 + ... + 4642215.

It is an arithmetic number, because the mean of its divisors is an integer number (424184670).

Almost surely, 2^9806768967 is an apocalyptic number.

9806768967 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

9806768967 is a deficient number, since it is larger than the sum of its proper divisors (3767140473).

9806768967 is a wasteful number, since it uses less digits than its factorization.

9806768967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643.

The product of its (nonzero) digits is 54867456, while the sum is 66.

The square root of 9806768967 is about 99029.1319107665. The cubic root of 9806768967 is about 2140.4675490925.

The spelling of 9806768967 in words is "nine billion, eight hundred six million, seven hundred sixty-eight thousand, nine hundred sixty-seven".