6838712256 has 224 divisors, whose sum is σ = 19897344000. Its totient is φ = 2064642048.

The previous prime is 6838712249. The next prime is 6838712267. The reversal of 6838712256 is 6522178386.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13435330 + ... + 13435838.

Almost surely, 2^6838712256 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 6838712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948672000).

6838712256 is an abundant number, since it is smaller than the sum of its proper divisors (13058631744).

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

6838712256 is a wasteful number, since it uses less digits than its factorization.

6838712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 6838712256 is about 82696.5069153468. The cubic root of 6838712256 is about 1898.1248587730.

The spelling of 6838712256 in words is "six billion, eight hundred thirty-eight million, seven hundred twelve thousand, two hundred fifty-six".