6256266720 has 192 divisors, whose sum is σ = 21539395584. Its totient is φ = 1513809920.

The previous prime is 6256266719. The next prime is 6256266739. The reversal of 6256266720 is 276626526.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4555954 + ... + 4557326.

It is an arithmetic number, because the mean of its divisors is an integer number (112184352).

Almost surely, 2^6256266720 is an apocalyptic number.

6256266720 is a gapful number since it is divisible by the number (60) 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 6256266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769697792).

6256266720 is an abundant number, since it is smaller than the sum of its proper divisors (15283128864).

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

6256266720 is a wasteful number, since it uses less digits than its factorization.

6256266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6256266720 is about 79096.5657914426. The cubic root of 6256266720 is about 1842.6311915064.

The spelling of 6256266720 in words is "six billion, two hundred fifty-six million, two hundred sixty-six thousand, seven hundred twenty".