6259348368 has 240 divisors, whose sum is σ = 21622671616. Its totient is φ = 1646023680.

The previous prime is 6259348351. The next prime is 6259348369. The reversal of 6259348368 is 8638439526.

6259348368 is a `hidden beast` number, since 6 + 2 + 593 + 48 + 3 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6259348369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8268246 + ... + 8269002.

Almost surely, 2^6259348368 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 6259348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811335808).

6259348368 is an abundant number, since it is smaller than the sum of its proper divisors (15363323248).

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

6259348368 is a wasteful number, since it uses less digits than its factorization.

6259348368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6259348368 is about 79116.0436826817. The cubic root of 6259348368 is about 1842.9336833336.

The spelling of 6259348368 in words is "six billion, two hundred fifty-nine million, three hundred forty-eight thousand, three hundred sixty-eight".