6698720256 has 352 divisors, whose sum is σ = 20492271360. Its totient is φ = 1932263424.

The previous prime is 6698720251. The next prime is 6698720269. The reversal of 6698720256 is 6520278966.

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

It is a junction number, because it is equal to n+sod(n) for n = 6698720199 and 6698720208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6698720251) 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 31 ways as a sum of consecutive naturals, for example, 42666930 + ... + 42667086.

It is an arithmetic number, because the mean of its divisors is an integer number (58216680).

Almost surely, 2^6698720256 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 6698720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10246135680).

6698720256 is an abundant number, since it is smaller than the sum of its proper divisors (13793551104).

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

6698720256 is a wasteful number, since it uses less digits than its factorization.

6698720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 6698720256 is about 81845.7100647309. The cubic root of 6698720256 is about 1885.0835946201.

The spelling of 6698720256 in words is "six billion, six hundred ninety-eight million, seven hundred twenty thousand, two hundred fifty-six".