6655171248 has 240 divisors, whose sum is σ = 21424795392. Its totient is φ = 1982880000.

The previous prime is 6655171247. The next prime is 6655171277. The reversal of 6655171248 is 8421715566.

6655171248 is a `hidden beast` number, since 6 + 6 + 5 + 517 + 124 + 8 = 666.

It is a Smith number, since the sum of its digits (45) 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 (6655171247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2607573 + ... + 2610123.

Almost surely, 2^6655171248 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 6655171248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712397696).

6655171248 is an abundant number, since it is smaller than the sum of its proper divisors (14769624144).

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

6655171248 is a wasteful number, since it uses less digits than its factorization.

6655171248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2628 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 6655171248 is about 81579.2329456462. The cubic root of 6655171248 is about 1880.9896750881.

The spelling of 6655171248 in words is "six billion, six hundred fifty-five million, one hundred seventy-one thousand, two hundred forty-eight".