10777067667 has 18 divisors (see below), whose sum is σ = 16122185612. Its totient is φ = 6936958224.

The previous prime is 10777067621. The next prime is 10777067671. The reversal of 10777067667 is 76676077701.

It is not a de Polignac number, because 10777067667 - 2⁶ = 10777067603 is a prime.

It is a super-2 number, since 2×10777067667² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10777060667) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 704353 + ... + 719490.

Almost surely, 2^10777067667 is an apocalyptic number.

10777067667 is a deficient number, since it is larger than the sum of its proper divisors (5345117945).

10777067667 is a wasteful number, since it uses less digits than its factorization.

10777067667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423907 (or 1423875 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The spelling of 10777067667 in words is "ten billion, seven hundred seventy-seven million, sixty-seven thousand, six hundred sixty-seven".