6848437680 has 640 divisors, whose sum is σ = 28798156800. Its totient is φ = 1461943296.

The previous prime is 6848437663. The next prime is 6848437693. The reversal of 6848437680 is 867348486.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16344511 + ... + 16344929.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 2^6848437680 is an apocalyptic number.

6848437680 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 6848437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399078400).

6848437680 is an abundant number, since it is smaller than the sum of its proper divisors (21949719120).

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

6848437680 is a wasteful number, since it uses less digits than its factorization.

6848437680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 6848437680 is about 82755.2879277210. The cubic root of 6848437680 is about 1899.0242154795.

The spelling of 6848437680 in words is "six billion, eight hundred forty-eight million, four hundred thirty-seven thousand, six hundred eighty".