6677277144 has 64 divisors (see below), whose sum is σ = 17286220800. Its totient is φ = 2146843776.

The previous prime is 6677277143. The next prime is 6677277161. The reversal of 6677277144 is 4417727766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677277143) 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, 777337 + ... + 785879.

It is an arithmetic number, because the mean of its divisors is an integer number (270097200).

Almost surely, 2^6677277144 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 6677277144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643110400).

6677277144 is an abundant number, since it is smaller than the sum of its proper divisors (10608943656).

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

6677277144 is a wasteful number, since it uses less digits than its factorization.

6677277144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9700 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 51.

The square root of 6677277144 is about 81714.6078984657. The cubic root of 6677277144 is about 1883.0700126557.

It can be divided in two parts, 66772 and 77144, that added together give a triangular number (143916 = T₅₃₆).

The spelling of 6677277144 in words is "six billion, six hundred seventy-seven million, two hundred seventy-seven thousand, one hundred forty-four".