6381710920 has 192 divisors, whose sum is σ = 16752672720. Its totient is φ = 2167406592.

The previous prime is 6381710917. The next prime is 6381710921. The reversal of 6381710920 is 290171836.

It can be written as a sum of positive squares in 24 ways, for example, as 1160492356 + 5221218564 = 34066^2 + 72258^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6381710920.

It is not an unprimeable number, because it can be changed into a prime (6381710921) 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, 24831432 + ... + 24831688.

Almost surely, 2^6381710920 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 6381710920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376336360).

6381710920 is an abundant number, since it is smaller than the sum of its proper divisors (10370961800).

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

6381710920 is a wasteful number, since it uses less digits than its factorization.

6381710920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 6381710920 is about 79885.6114704019. The cubic root of 6381710920 is about 1854.8652963410.

The spelling of 6381710920 in words is "six billion, three hundred eighty-one million, seven hundred ten thousand, nine hundred twenty".