10671757667 has 16 divisors (see below), whose sum is σ = 11598570144. Its totient is φ = 9781440000.

The previous prime is 10671757639. The next prime is 10671757697. The reversal of 10671757667 is 76675717601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10671757667 - 2¹² = 10671753571 is a prime.

It is a super-2 number, since 2×10671757667² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10671757697) 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, 53792 + ... + 155682.

It is an arithmetic number, because the mean of its divisors is an integer number (724910634).

Almost surely, 2^10671757667 is an apocalyptic number.

10671757667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10671757667 is a deficient number, since it is larger than the sum of its proper divisors (926812477).

10671757667 is a wasteful number, since it uses less digits than its factorization.

10671757667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102070.

The product of its (nonzero) digits is 2593080, while the sum is 53.

The spelling of 10671757667 in words is "ten billion, six hundred seventy-one million, seven hundred fifty-seven thousand, six hundred sixty-seven".