6381360000 has 240 divisors, whose sum is σ = 22949028960. Its totient is φ = 1701504000.

The previous prime is 6381359987. The next prime is 6381360019. The reversal of 6381360000 is 631836.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 715569 + ... + 724431.

It is an arithmetic number, because the mean of its divisors is an integer number (95620954).

Almost surely, 2^6381360000 is an apocalyptic number.

6381360000 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 6381360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474514480).

6381360000 is an abundant number, since it is smaller than the sum of its proper divisors (16567668960).

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

6381360000 is an equidigital number, since it uses as much as digits as its factorization.

6381360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6381360000 is about 79883.4150496835. The cubic root of 6381360000 is about 1854.8312970332.

Adding to 6381360000 its reverse (631836), we get a palindrome (6381991836).

The spelling of 6381360000 in words is "six billion, three hundred eighty-one million, three hundred sixty thousand".