6274748256 has 192 divisors, whose sum is σ = 19194900480. Its totient is φ = 1757790720.

The previous prime is 6274748219. The next prime is 6274748273. The reversal of 6274748256 is 6528474726.

It is a junction number, because it is equal to n+sod(n) for n = 6274748199 and 6274748208.

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, 16555875 + ... + 16556253.

It is an arithmetic number, because the mean of its divisors is an integer number (99973440).

Almost surely, 2^6274748256 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 6274748256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597450240).

6274748256 is an abundant number, since it is smaller than the sum of its proper divisors (12920152224).

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

6274748256 is a wasteful number, since it uses less digits than its factorization.

6274748256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The square root of 6274748256 is about 79213.3085787988. The cubic root of 6274748256 is about 1844.4438367422.

The spelling of 6274748256 in words is "six billion, two hundred seventy-four million, seven hundred forty-eight thousand, two hundred fifty-six".