10741665067 has 16 divisors (see below), whose sum is σ = 13682442240. Its totient is φ = 8209461888.

The previous prime is 10741665061. The next prime is 10741665113. The reversal of 10741665067 is 76056614701.

It is a cyclic number.

It is not a de Polignac number, because 10741665067 - 2¹⁵ = 10741632299 is a prime.

It is a super-3 number, since 3×10741665067³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10741665061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373163 + ... + 2377684.

It is an arithmetic number, because the mean of its divisors is an integer number (855152640).

Almost surely, 2^10741665067 is an apocalyptic number.

10741665067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10741665067 is a deficient number, since it is larger than the sum of its proper divisors (2940777173).

10741665067 is a wasteful number, since it uses less digits than its factorization.

10741665067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750890.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 10741665067 in words is "ten billion, seven hundred forty-one million, six hundred sixty-five thousand, sixty-seven".