10767468874767 has 16 divisors (see below), whose sum is σ = 16085064070272. Its totient is φ = 6349367394720.

The previous prime is 10767468874763. The next prime is 10767468874769. The reversal of 10767468874767 is 76747886476701.

It is not a de Polignac number, because 10767468874767 - 2² = 10767468874763 is a prime.

It is a super-2 number, since 2×10767468874767² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10767468874692 and 10767468874701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10767468874763) 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 15 ways as a sum of consecutive naturals, for example, 4409281693 + ... + 4409284134.

It is an arithmetic number, because the mean of its divisors is an integer number (1005316504392).

Almost surely, 2^{10767468874767} is an apocalyptic number.

10767468874767 is a deficient number, since it is larger than the sum of its proper divisors (5317595195505).

10767468874767 is a wasteful number, since it uses less digits than its factorization.

10767468874767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818565878.

The product of its (nonzero) digits is 3717439488, while the sum is 78.

The spelling of 10767468874767 in words is "ten trillion, seven hundred sixty-seven billion, four hundred sixty-eight million, eight hundred seventy-four thousand, seven hundred sixty-seven".