268767767862 has 192 divisors, whose sum is σ = 671931307008. Its totient is φ = 77545512000.

The previous prime is 268767767857. The next prime is 268767767869.

268767767862 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×268767767862² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268767767869) 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 95 ways as a sum of consecutive naturals, for example, 41659737 + ... + 41666187.

It is an arithmetic number, because the mean of its divisors is an integer number (3499642224).

Almost surely, 2^268767767862 is an apocalyptic number.

268767767862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268767767862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335965653504).

268767767862 is an abundant number, since it is smaller than the sum of its proper divisors (403163539146).

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

268767767862 is a wasteful number, since it uses less digits than its factorization.

268767767862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6551 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 268767767862 in words is "two hundred sixty-eight billion, seven hundred sixty-seven million, seven hundred sixty-seven thousand, eight hundred sixty-two".