6377245056 has 384 divisors, whose sum is σ = 22811443200. Its totient is φ = 1665183744.

The previous prime is 6377245027. The next prime is 6377245093. The reversal of 6377245056 is 6505427736.

6377245056 is a `hidden beast` number, since 637 + 7 + 2 + 4 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13313425 + ... + 13313903.

It is an arithmetic number, because the mean of its divisors is an integer number (59404800).

Almost surely, 2^6377245056 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 6377245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405721600).

6377245056 is an abundant number, since it is smaller than the sum of its proper divisors (16434198144).

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

6377245056 is a wasteful number, since it uses less digits than its factorization.

6377245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 6377245056 is about 79857.6549618131. The cubic root of 6377245056 is about 1854.4325226818.

The spelling of 6377245056 in words is "six billion, three hundred seventy-seven million, two hundred forty-five thousand, fifty-six".