6384742299936 has 1728 divisors, whose sum is σ = 26012813299200. Its totient is φ = 1458255052800.

The previous prime is 6384742299913. The next prime is 6384742299941. The reversal of 6384742299936 is 6399922474836.

6384742299936 is a `hidden beast` number, since 6 + 3 + 84 + 7 + 422 + 9 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4623273966 + ... + 4623275346.

It is an arithmetic number, because the mean of its divisors is an integer number (15053711400).

Almost surely, 2^{6384742299936} is an apocalyptic number.

6384742299936 is a gapful number since it is divisible by the number (66) 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 6384742299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006406649600).

6384742299936 is an abundant number, since it is smaller than the sum of its proper divisors (19628070999264).

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

6384742299936 is a wasteful number, since it uses less digits than its factorization.

6384742299936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1525 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 6384742299936 in words is "six trillion, three hundred eighty-four billion, seven hundred forty-two million, two hundred ninety-nine thousand, nine hundred thirty-six".