6860648256 has 224 divisors, whose sum is σ = 22848003072. Its totient is φ = 1764925440.

The previous prime is 6860648239. The next prime is 6860648257. The reversal of 6860648256 is 6528460686.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 6860648199 and 6860648208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860648257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579720 + ... + 1584056.

Almost surely, 2^6860648256 is an apocalyptic number.

6860648256 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 6860648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424001536).

6860648256 is an abundant number, since it is smaller than the sum of its proper divisors (15987354816).

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

6860648256 is a wasteful number, since it uses less digits than its factorization.

6860648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 6860648256 is about 82829.0302732080. The cubic root of 6860648256 is about 1900.1521813471.

The spelling of 6860648256 in words is "six billion, eight hundred sixty million, six hundred forty-eight thousand, two hundred fifty-six".