677128821776 has 80 divisors (see below), whose sum is σ = 1463782883328. Its totient is φ = 300798710400.

The previous prime is 677128821773. The next prime is 677128821827.

677128821776 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (677128821773) 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, 5656721 + ... + 5775183.

Almost surely, 2^677128821776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677128821776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731891441664).

677128821776 is an abundant number, since it is smaller than the sum of its proper divisors (786654061552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677128821776 is a wasteful number, since it uses less digits than its factorization.

677128821776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119220 (or 119214 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 62.

The spelling of 677128821776 in words is "six hundred seventy-seven billion, one hundred twenty-eight million, eight hundred twenty-one thousand, seven hundred seventy-six".