26765377968 has 160 divisors (see below), whose sum is σ = 80508736000. Its totient is φ = 7503943680.

The previous prime is 26765377963. The next prime is 26765377981. The reversal of 26765377968 is 86977356762.

It is a junction number, because it is equal to n+sod(n) for n = 26765377899 and 26765377908.

It is not an unprimeable number, because it can be changed into a prime (26765377963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10226196 + ... + 10228812.

It is an arithmetic number, because the mean of its divisors is an integer number (503179600).

Almost surely, 2^26765377968 is an apocalyptic number.

26765377968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26765377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40254368000).

26765377968 is an abundant number, since it is smaller than the sum of its proper divisors (53743358032).

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

26765377968 is a wasteful number, since it uses less digits than its factorization.

26765377968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3189 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 66.

The spelling of 26765377968 in words is "twenty-six billion, seven hundred sixty-five million, three hundred seventy-seven thousand, nine hundred sixty-eight".