6384241800000 has 504 divisors, whose sum is σ = 23719946638752. Its totient is φ = 1702451520000.

The previous prime is 6384241799977. The next prime is 6384241800007. The reversal of 6384241800000 is 81424836.

6384241800000 is a `hidden beast` number, since 638 + 4 + 2 + 4 + 18 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6384241800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48534319 + ... + 48665681.

It is an arithmetic number, because the mean of its divisors is an integer number (47063386188).

Almost surely, 2^{6384241800000} is an apocalyptic number.

6384241800000 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 6384241800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859973319376).

6384241800000 is an abundant number, since it is smaller than the sum of its proper divisors (17335704838752).

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

6384241800000 is an frugal number, since it uses more digits than its factorization.

6384241800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131415 (or 131373 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 6384241800000 in words is "six trillion, three hundred eighty-four billion, two hundred forty-one million, eight hundred thousand".