6259812048 has 240 divisors, whose sum is σ = 21150729600. Its totient is φ = 1688325120.

The previous prime is 6259812019. The next prime is 6259812061. The reversal of 6259812048 is 8402189526.

6259812048 is a `hidden beast` number, since 6 + 2 + 598 + 12 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6259811994 and 6259812012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8828718 + ... + 8829426.

It is an arithmetic number, because the mean of its divisors is an integer number (88128040).

Almost surely, 2^6259812048 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 6259812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575364800).

6259812048 is an abundant number, since it is smaller than the sum of its proper divisors (14890917552).

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

6259812048 is a wasteful number, since it uses less digits than its factorization.

6259812048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6259812048 is about 79118.9740075034. The cubic root of 6259812048 is about 1842.9791891563.

The spelling of 6259812048 in words is "six billion, two hundred fifty-nine million, eight hundred twelve thousand, forty-eight".