26722876733568 has 192 divisors, whose sum is σ = 84047759377920. Its totient is φ = 8113207173120.

The previous prime is 26722876733563. The next prime is 26722876733593. The reversal of 26722876733568 is 86533767822762.

26722876733568 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 28 + 7 + 6 + 7 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×26722876733568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26722876733496 and 26722876733505.

It is not an unprimeable number, because it can be changed into a prime (26722876733563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21401380 + ... + 22615587.

It is an arithmetic number, because the mean of its divisors is an integer number (437748746760).

Almost surely, 2^{26722876733568} is an apocalyptic number.

It is an amenable number.

26722876733568 is an abundant number, since it is smaller than the sum of its proper divisors (57324882644352).

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

26722876733568 is a wasteful number, since it uses less digits than its factorization.

26722876733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44017035 (or 44017020 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 26722876733568 in words is "twenty-six trillion, seven hundred twenty-two billion, eight hundred seventy-six million, seven hundred thirty-three thousand, five hundred sixty-eight".