677556672144 has 160 divisors (see below), whose sum is σ = 2047394672640. Its totient is φ = 190796236800.

The previous prime is 677556672119. The next prime is 677556672179. The reversal of 677556672144 is 441276655776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231349 + ... + 1186859.

It is an arithmetic number, because the mean of its divisors is an integer number (12796216704).

Almost surely, 2^677556672144 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 677556672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023697336320).

677556672144 is an abundant number, since it is smaller than the sum of its proper divisors (1369838000496).

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

677556672144 is a wasteful number, since it uses less digits than its factorization.

677556672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955629 (or 955623 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 60.

The spelling of 677556672144 in words is "six hundred seventy-seven billion, five hundred fifty-six million, six hundred seventy-two thousand, one hundred forty-four".