677565686565776 has 20 divisors (see below), whose sum is σ = 1313391006690444. Its totient is φ = 338626071936000.

The previous prime is 677565686565773. The next prime is 677565686565787.

677565686565776 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 541031135525776 + 136534551040000 = 23260076^2 + 11684800^2 .

It is a super-2 number, since 2×677565686565776² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677565686565773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9798173525 + ... + 9798242676.

Almost surely, 2^{677565686565776} is an apocalyptic number.

It is an amenable number.

677565686565776 is a deficient number, since it is larger than the sum of its proper divisors (635825320124668).

677565686565776 is a wasteful number, since it uses less digits than its factorization.

677565686565776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19596418370 (or 19596418364 counting only the distinct ones).

The product of its digits is 560105280000, while the sum is 92.

The spelling of 677565686565776 in words is "six hundred seventy-seven trillion, five hundred sixty-five billion, six hundred eighty-six million, five hundred sixty-five thousand, seven hundred seventy-six".