10676737736667 has 12 divisors (see below), whose sum is σ = 15437178563664. Its totient is φ = 7110798670800.

The previous prime is 10676737736657. The next prime is 10676737736669. The reversal of 10676737736667 is 76663773767601.

It is not a de Polignac number, because 10676737736667 - 2¹⁴ = 10676737720283 is a prime.

It is a super-2 number, since 2×10676737736667² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10676737736595 and 10676737736604.

It is not an unprimeable number, because it can be changed into a prime (10676737736669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585530959 + ... + 585549192.

It is an arithmetic number, because the mean of its divisors is an integer number (1286431546972).

Almost surely, 2^{10676737736667} is an apocalyptic number.

10676737736667 is a deficient number, since it is larger than the sum of its proper divisors (4760440826997).

10676737736667 is a wasteful number, since it uses less digits than its factorization.

10676737736667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171081170 (or 1171081167 counting only the distinct ones).

The product of its (nonzero) digits is 1176221088, while the sum is 72.

The spelling of 10676737736667 in words is "ten trillion, six hundred seventy-six billion, seven hundred thirty-seven million, seven hundred thirty-six thousand, six hundred sixty-seven".