6382785049344 has 270 divisors, whose sum is σ = 20919820159700. Its totient is φ = 1934176527360.

The previous prime is 6382785049339. The next prime is 6382785049357. The reversal of 6382785049344 is 4439405872836.

6382785049344 is a `hidden beast` number, since 6 + 3 + 8 + 27 + 85 + 0 + 493 + 44 = 666.

It is a super-2 number, since 2×6382785049344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1237107 + ... + 3781005.

Almost surely, 2^{6382785049344} is an apocalyptic number.

6382785049344 is a gapful number since it is divisible by the number (64) 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 6382785049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459910079850).

6382785049344 is an abundant number, since it is smaller than the sum of its proper divisors (14537035110356).

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

6382785049344 is a wasteful number, since it uses less digits than its factorization.

6382785049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543949 (or 2543915 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 6382785049344 in words is "six trillion, three hundred eighty-two billion, seven hundred eighty-five million, forty-nine thousand, three hundred forty-four".