6377144256 has 168 divisors, whose sum is σ = 21664289920. Its totient is φ = 1822010112.

The previous prime is 6377144251. The next prime is 6377144273. The reversal of 6377144256 is 6524417736.

6377144256 is a `hidden beast` number, since 637 + 7 + 1 + 4 + 4 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377144251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79575 + ... + 138153.

Almost surely, 2^6377144256 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 6377144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832144960).

6377144256 is an abundant number, since it is smaller than the sum of its proper divisors (15287145664).

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

6377144256 is an equidigital number, since it uses as much as digits as its factorization.

6377144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58613 (or 58591 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6377144256 is about 79857.0238363539. The cubic root of 6377144256 is about 1854.4227521209.

The spelling of 6377144256 in words is "six billion, three hundred seventy-seven million, one hundred forty-four thousand, two hundred fifty-six".