26672628960369 has 48 divisors (see below), whose sum is σ = 44691021378432. Its totient is φ = 15013064461824.

The previous prime is 26672628960361. The next prime is 26672628960413. The reversal of 26672628960369 is 96306982627662.

26672628960369 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 6 + 2 + 8 + 9 + 603 + 6 + 9 = 666.

It is not a de Polignac number, because 26672628960369 - 2³ = 26672628960361 is a prime.

It is a super-2 number, since 2×26672628960369² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26672628960297 and 26672628960306.

It is not an unprimeable number, because it can be changed into a prime (26672628960361) 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 47 ways as a sum of consecutive naturals, for example, 69171427 + ... + 69555959.

It is an arithmetic number, because the mean of its divisors is an integer number (931062945384).

Almost surely, 2^{26672628960369} is an apocalyptic number.

It is an amenable number.

26672628960369 is a deficient number, since it is larger than the sum of its proper divisors (18018392418063).

26672628960369 is a wasteful number, since it uses less digits than its factorization.

26672628960369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401046 (or 401043 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 26672628960369 in words is "twenty-six trillion, six hundred seventy-two billion, six hundred twenty-eight million, nine hundred sixty thousand, three hundred sixty-nine".