1327678066753 has 16 divisors (see below), whose sum is σ = 1480065333120. Its totient is φ = 1183571778816.

The previous prime is 1327678066747. The next prime is 1327678066769. The reversal of 1327678066753 is 3576608767231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1327678066753 - 2²⁵ = 1327644512321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1327678066691 and 1327678066700.

It is not an unprimeable number, because it can be changed into a prime (1327678066553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186500 + ... + 2015722.

It is an arithmetic number, because the mean of its divisors is an integer number (92504083320).

Almost surely, 2^{1327678066753} is an apocalyptic number.

It is an amenable number.

1327678066753 is a deficient number, since it is larger than the sum of its proper divisors (152387266367).

1327678066753 is a wasteful number, since it uses less digits than its factorization.

1327678066753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834216.

The product of its (nonzero) digits is 53343360, while the sum is 61.

The spelling of 1327678066753 in words is "one trillion, three hundred twenty-seven billion, six hundred seventy-eight million, sixty-six thousand, seven hundred fifty-three".