967689986769 has 24 divisors (see below), whose sum is σ = 1525909144032. Its totient is φ = 586069427520.

The previous prime is 967689986729. The next prime is 967689986779.

It is a happy number.

967689986769 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 967689986769 - 2¹¹ = 967689984721 is a prime.

It is a super-2 number, since 2×967689986769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967689986729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268687 + ... + 3552420.

It is an arithmetic number, because the mean of its divisors is an integer number (63579547668).

Almost surely, 2^967689986769 is an apocalyptic number.

967689986769 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

967689986769 is a deficient number, since it is larger than the sum of its proper divisors (558219157263).

967689986769 is a wasteful number, since it uses less digits than its factorization.

967689986769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822557 (or 6822554 counting only the distinct ones).

The product of its digits is 26665583616, while the sum is 90.

The spelling of 967689986769 in words is "nine hundred sixty-seven billion, six hundred eighty-nine million, nine hundred eighty-six thousand, seven hundred sixty-nine".