6380656128 has 480 divisors, whose sum is σ = 23491353600. Its totient is φ = 1652797440.

The previous prime is 6380656123. The next prime is 6380656147. The reversal of 6380656128 is 8216560836.

6380656128 is a `hidden beast` number, since 6 + 3 + 80 + 6 + 561 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380656123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17385801 + ... + 17386167.

It is an arithmetic number, because the mean of its divisors is an integer number (48940320).

Almost surely, 2^6380656128 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 6380656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745676800).

6380656128 is an abundant number, since it is smaller than the sum of its proper divisors (17110697472).

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

6380656128 is a wasteful number, since it uses less digits than its factorization.

6380656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6380656128 is about 79879.0093078275. The cubic root of 6380656128 is about 1854.7630977873.

The spelling of 6380656128 in words is "six billion, three hundred eighty million, six hundred fifty-six thousand, one hundred twenty-eight".