677444871168 has 1056 divisors, whose sum is σ = 2355351957504. Its totient is φ = 192631799808.

The previous prime is 677444871137. The next prime is 677444871203. The reversal of 677444871168 is 861178444776.

It is a happy number.

677444871168 is a `hidden beast` number, since 6 + 7 + 74 + 448 + 7 + 116 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5334211521 + ... + 5334211647.

Almost surely, 2^677444871168 is an apocalyptic number.

677444871168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677444871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177675978752).

677444871168 is an abundant number, since it is smaller than the sum of its proper divisors (1677907086336).

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

677444871168 is a wasteful number, since it uses less digits than its factorization.

677444871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 259 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 677444871168 in words is "six hundred seventy-seven billion, four hundred forty-four million, eight hundred seventy-one thousand, one hundred sixty-eight".