677125521776 has 80 divisors (see below), whose sum is σ = 1453172348160. Its totient is φ = 303091906560.

The previous prime is 677125521769. The next prime is 677125521791.

677125521776 is nontrivially palindromic in base 10.

677125521776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140576 + ... + 3349248.

It is an arithmetic number, because the mean of its divisors is an integer number (18164654352).

Almost surely, 2^677125521776 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 677125521776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726586174080).

677125521776 is an abundant number, since it is smaller than the sum of its proper divisors (776046826384).

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

677125521776 is a wasteful number, since it uses less digits than its factorization.

677125521776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208974 (or 208968 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 56.

The spelling of 677125521776 in words is "six hundred seventy-seven billion, one hundred twenty-five million, five hundred twenty-one thousand, seven hundred seventy-six".