10672676127 has 16 divisors (see below), whose sum is σ = 15813185280. Its totient is φ = 7114301496.

The previous prime is 10672676123. The next prime is 10672676129. The reversal of 10672676127 is 72167627601.

10672676127 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 26 + 7 + 612 + 7 = 666.

10672676127 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 10672676127 - 2² = 10672676123 is a prime.

It is a super-2 number, since 2×10672676127² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672676123) 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, 301368 + ... + 334914.

It is an arithmetic number, because the mean of its divisors is an integer number (988324080).

Almost surely, 2^10672676127 is an apocalyptic number.

10672676127 is a deficient number, since it is larger than the sum of its proper divisors (5140509153).

10672676127 is a wasteful number, since it uses less digits than its factorization.

10672676127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45339 (or 45333 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10672676127 in words is "ten billion, six hundred seventy-two million, six hundred seventy-six thousand, one hundred twenty-seven".