6257709248 has 168 divisors, whose sum is σ = 15451732368. Its totient is φ = 2498248704.

The previous prime is 6257709247. The next prime is 6257709253. The reversal of 6257709248 is 8429077526.

It is a junction number, because it is equal to n+sod(n) for n = 6257709196 and 6257709205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257709247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5703836 + ... + 5704932.

Almost surely, 2^6257709248 is an apocalyptic number.

6257709248 is a gapful number since it is divisible by the number (68) 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 6257709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725866184).

6257709248 is an abundant number, since it is smaller than the sum of its proper divisors (9194023120).

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

6257709248 is a wasteful number, since it uses less digits than its factorization.

6257709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 6257709248 is about 79105.6840435629. The cubic root of 6257709248 is about 1842.7728011351.

The spelling of 6257709248 in words is "six billion, two hundred fifty-seven million, seven hundred nine thousand, two hundred forty-eight".