6783993216 has 1024 divisors, whose sum is σ = 28130457600. Its totient is φ = 1552711680.

The previous prime is 6783993211. The next prime is 6783993217. The reversal of 6783993216 is 6123993876.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2939328) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6783993211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127999846 + ... + 127999898.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^6783993216 is an apocalyptic number.

6783993216 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 6783993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

6783993216 is an abundant number, since it is smaller than the sum of its proper divisors (21346464384).

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

6783993216 is a wasteful number, since it uses less digits than its factorization.

6783993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 6783993216 is about 82364.9999453651. Note that the first 4 decimals coincide. The cubic root of 6783993216 is about 1893.0487654487.

It can be divided in two parts, 6783 and 993216, that added together give a palindrome (999999).

The spelling of 6783993216 in words is "six billion, seven hundred eighty-three million, nine hundred ninety-three thousand, two hundred sixteen".