677356383653776 has 20 divisors (see below), whose sum is σ = 1312461900085644. Its totient is φ = 338656538470400.

The previous prime is 677356383653771. The next prime is 677356383653791.

It is a happy number.

677356383653776 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 418471501643776 + 258884882010000 = 20456576^2 + 16089900^2 .

It is a super-3 number, since 3×677356383653776³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 677356383653776.

It is not an unprimeable number, because it can be changed into a prime (677356383653771) 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, 1353076705 + ... + 1353577216.

Almost surely, 2^{677356383653776} is an apocalyptic number.

It is an amenable number.

677356383653776 is a deficient number, since it is larger than the sum of its proper divisors (635105516431868).

677356383653776 is a wasteful number, since it uses less digits than its factorization.

677356383653776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706669570 (or 2706669564 counting only the distinct ones).

The product of its digits is 50409475200, while the sum is 82.

The spelling of 677356383653776 in words is "six hundred seventy-seven trillion, three hundred fifty-six billion, three hundred eighty-three million, six hundred fifty-three thousand, seven hundred seventy-six".