6253648128 has 324 divisors, whose sum is σ = 22593347868. Its totient is φ = 1648926720.

The previous prime is 6253648127. The next prime is 6253648199. The reversal of 6253648128 is 8218463526.

6253648128 is a `hidden beast` number, since 62 + 536 + 48 + 12 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3780774144 + 2472873984 = 61488^2 + 49728^2 .

It is a super-3 number, since 3×6253648128³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253648127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1465518 + ... + 1469778.

Almost surely, 2^6253648128 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 6253648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296673934).

6253648128 is an abundant number, since it is smaller than the sum of its proper divisors (16339699740).

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

6253648128 is a wasteful number, since it uses less digits than its factorization.

6253648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4286 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 6253648128 is about 79080.0109256442. The cubic root of 6253648128 is about 1842.3740747700.

The spelling of 6253648128 in words is "six billion, two hundred fifty-three million, six hundred forty-eight thousand, one hundred twenty-eight".