6256420800 has 336 divisors, whose sum is σ = 23765621760. Its totient is φ = 1411338240.

The previous prime is 6256420787. The next prime is 6256420811. The reversal of 6256420800 is 80246526.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2653222 + ... + 2655578.

Almost surely, 2^6256420800 is an apocalyptic number.

6256420800 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 6256420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882810880).

6256420800 is an abundant number, since it is smaller than the sum of its proper divisors (17509200960).

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

6256420800 is a wasteful number, since it uses less digits than its factorization.

6256420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6256420800 is about 79097.5397847493. The cubic root of 6256420800 is about 1842.6463182210.

The spelling of 6256420800 in words is "six billion, two hundred fifty-six million, four hundred twenty thousand, eight hundred".