6379585920 has 768 divisors, whose sum is σ = 25662873600. Its totient is φ = 1504935936.

The previous prime is 6379585889. The next prime is 6379585921. The reversal of 6379585920 is 295859736.

6379585920 is a `hidden beast` number, since 6 + 37 + 9 + 585 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6379585921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232897 + ... + 50233023.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^6379585920 is an apocalyptic number.

6379585920 is a gapful number since it is divisible by the number (60) 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 6379585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6379585920 is an abundant number, since it is smaller than the sum of its proper divisors (19283287680).

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

6379585920 is a wasteful number, since it uses less digits than its factorization.

6379585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 6379585920 is about 79872.3100955519. The cubic root of 6379585920 is about 1854.6593940692.

The spelling of 6379585920 in words is "six billion, three hundred seventy-nine million, five hundred eighty-five thousand, nine hundred twenty".