11040736767 has 16 divisors (see below), whose sum is σ = 15257568480. Its totient is φ = 7095848832.

The previous prime is 11040736747. The next prime is 11040736799. The reversal of 11040736767 is 76763704011.

11040736767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11040736767 - 2⁷ = 11040736639 is a prime.

It is a super-2 number, since 2×11040736767² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040736747) 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 15 ways as a sum of consecutive naturals, for example, 444168 + ... + 468365.

It is an arithmetic number, because the mean of its divisors is an integer number (953598030).

Almost surely, 2^11040736767 is an apocalyptic number.

11040736767 is a deficient number, since it is larger than the sum of its proper divisors (4216831713).

11040736767 is a wasteful number, since it uses less digits than its factorization.

11040736767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912682.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 11040736767 in words is "eleven billion, forty million, seven hundred thirty-six thousand, seven hundred sixty-seven".