6791744256 has 432 divisors, whose sum is σ = 22204119168. Its totient is φ = 1821081600.

The previous prime is 6791744249. The next prime is 6791744257. The reversal of 6791744256 is 6524471976.

It is a happy number.

It is a super-2 number, since 2×6791744256² = 92255580077817987072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2540160) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 6791744199 and 6791744208.

It is not an unprimeable number, because it can be changed into a prime (6791744257) 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 47 ways as a sum of consecutive naturals, for example, 51845311 + ... + 51845441.

It is an arithmetic number, because the mean of its divisors is an integer number (51398424).

Almost surely, 2^6791744256 is an apocalyptic number.

6791744256 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 6791744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11102059584).

6791744256 is an abundant number, since it is smaller than the sum of its proper divisors (15412374912).

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

6791744256 is a wasteful number, since it uses less digits than its factorization.

6791744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 6791744256 is about 82412.0395087999. The cubic root of 6791744256 is about 1893.7694576005.

The spelling of 6791744256 in words is "six billion, seven hundred ninety-one million, seven hundred forty-four thousand, two hundred fifty-six".