1677981272769 has 8 divisors (see below), whose sum is σ = 2485898181920. Its totient is φ = 1118654181828.

The previous prime is 1677981272731. The next prime is 1677981272783. The reversal of 1677981272769 is 9672721897761.

1677981272769 is a `hidden beast` number, since 167 + 79 + 8 + 127 + 276 + 9 = 666.

It is not a de Polignac number, because 1677981272769 - 2¹² = 1677981268673 is a prime.

It is a super-2 number, since 2×1677981272769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1677981272697 and 1677981272706.

It is not an unprimeable number, because it can be changed into a prime (1677981272069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31073727247 + ... + 31073727300.

It is an arithmetic number, because the mean of its divisors is an integer number (310737272740).

Almost surely, 2^{1677981272769} is an apocalyptic number.

It is an amenable number.

1677981272769 is a deficient number, since it is larger than the sum of its proper divisors (807916909151).

1677981272769 is an equidigital number, since it uses as much as digits as its factorization.

1677981272769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62147454556 (or 62147454550 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 72.

The spelling of 1677981272769 in words is "one trillion, six hundred seventy-seven billion, nine hundred eighty-one million, two hundred seventy-two thousand, seven hundred sixty-nine".