6848271360 has 660 divisors, whose sum is σ = 28631626452. Its totient is φ = 1560674304.

The previous prime is 6848271301. The next prime is 6848271361. The reversal of 6848271360 is 631728486.

It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 4698279936 = 46368^2 + 68544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848271361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321112 + ... + 20321448.

Almost surely, 2^6848271360 is an apocalyptic number.

6848271360 is a gapful number since it is divisible by the number (60) 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 6848271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315813226).

6848271360 is an abundant number, since it is smaller than the sum of its proper divisors (21783355092).

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

6848271360 is a wasteful number, since it uses less digits than its factorization.

6848271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6848271360 is about 82754.2830311519. The cubic root of 6848271360 is about 1899.0088422280.

The spelling of 6848271360 in words is "six billion, eight hundred forty-eight million, two hundred seventy-one thousand, three hundred sixty".