768838949838867 has 16 divisors (see below), whose sum is σ = 1028850158200320. Its totient is φ = 510696791116512.

The previous prime is 768838949838829. The next prime is 768838949838877.

768838949838867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768838949838867 - 2⁸ = 768838949838611 is a prime.

It is a super-2 number, since 2×768838949838867² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768838949838877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407863017 + ... + 409743722.

It is an arithmetic number, because the mean of its divisors is an integer number (64303134887520).

Almost surely, 2^{768838949838867} is an apocalyptic number.

768838949838867 is a deficient number, since it is larger than the sum of its proper divisors (260011208361453).

768838949838867 is a wasteful number, since it uses less digits than its factorization.

768838949838867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817607882.

The product of its digits is 1348422598656, while the sum is 102.

The spelling of 768838949838867 in words is "seven hundred sixty-eight trillion, eight hundred thirty-eight billion, nine hundred forty-nine million, eight hundred thirty-eight thousand, eight hundred sixty-seven".