768354453867 has 64 divisors (see below), whose sum is σ = 1412691969024. Its totient is φ = 358483760640.

The previous prime is 768354453829. The next prime is 768354453869.

768354453867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768354453867 - 2²³ = 768346065259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768354453798 and 768354453807.

It is not an unprimeable number, because it can be changed into a prime (768354453869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3346488 + ... + 3568709.

It is an arithmetic number, because the mean of its divisors is an integer number (22073312016).

Almost surely, 2^768354453867 is an apocalyptic number.

768354453867 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

768354453867 is a deficient number, since it is larger than the sum of its proper divisors (644337515157).

768354453867 is a wasteful number, since it uses less digits than its factorization.

768354453867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915268.

The product of its digits is 406425600, while the sum is 66.

It can be divided in two parts, 768354 and 453867, that added together give a palindrome (1222221).

The spelling of 768354453867 in words is "seven hundred sixty-eight billion, three hundred fifty-four million, four hundred fifty-three thousand, eight hundred sixty-seven".