6824785218048 has 480 divisors, whose sum is σ = 23726394806400. Its totient is φ = 1847163322368.

The previous prime is 6824785218023. The next prime is 6824785218071. The reversal of 6824785218048 is 8408125874286.

6824785218048 is a `hidden beast` number, since 6 + 8 + 24 + 7 + 8 + 521 + 80 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49508643 + ... + 49646301.

It is an arithmetic number, because the mean of its divisors is an integer number (49429989180).

Almost surely, 2^{6824785218048} 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 6824785218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863197403200).

6824785218048 is an abundant number, since it is smaller than the sum of its proper divisors (16901609588352).

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

6824785218048 is a wasteful number, since it uses less digits than its factorization.

6824785218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137772 (or 137753 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 6824785218048 in words is "six trillion, eight hundred twenty-four billion, seven hundred eighty-five million, two hundred eighteen thousand, forty-eight".