6381887616 has 224 divisors, whose sum is σ = 20532376620. Its totient is φ = 1963284480.

The previous prime is 6381887609. The next prime is 6381887627. The reversal of 6381887616 is 6167881836.

6381887616 is a `hidden beast` number, since 6 + 3 + 8 + 18 + 8 + 7 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6352727616 + 29160000 = 79704^2 + 5400^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1210426 + ... + 1215686.

Almost surely, 2^6381887616 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 6381887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266188310).

6381887616 is an abundant number, since it is smaller than the sum of its proper divisors (14150489004).

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

6381887616 is an equidigital number, since it uses as much as digits as its factorization.

6381887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5279 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 6381887616 is about 79886.7173940700. The cubic root of 6381887616 is about 1854.8824152744.

The spelling of 6381887616 in words is "six billion, three hundred eighty-one million, eight hundred eighty-seven thousand, six hundred sixteen".