6255824640 has 288 divisors, whose sum is σ = 21726411840. Its totient is φ = 1524891648.

The previous prime is 6255824629. The next prime is 6255824681. The reversal of 6255824640 is 464285526.

It is a happy number.

It is a super-2 number, since 2×6255824640² = 78270683852862259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6255824592 and 6255824601.

It is a congruent number.

It is an unprimeable number.

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, 5640406 + ... + 5641514.

It is an arithmetic number, because the mean of its divisors is an integer number (75438930).

Almost surely, 2^6255824640 is an apocalyptic number.

6255824640 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 6255824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863205920).

6255824640 is an abundant number, since it is smaller than the sum of its proper divisors (15470587200).

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

6255824640 is a wasteful number, since it uses less digits than its factorization.

6255824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 6255824640 is about 79093.7711833239. The cubic root of 6255824640 is about 1842.5877891803.

The spelling of 6255824640 in words is "six billion, two hundred fifty-five million, eight hundred twenty-four thousand, six hundred forty".