6841349760 has 512 divisors, whose sum is σ = 26665574400. Its totient is φ = 1457160192.

The previous prime is 6841349693. The next prime is 6841349761. The reversal of 6841349760 is 679431486.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6841349761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18641097 + ... + 18641463.

It is an arithmetic number, because the mean of its divisors is an integer number (52081200).

Almost surely, 2^6841349760 is an apocalyptic number.

6841349760 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 6841349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332787200).

6841349760 is an abundant number, since it is smaller than the sum of its proper divisors (19824224640).

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

6841349760 is a wasteful number, since it uses less digits than its factorization.

6841349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6841349760 is about 82712.4522668745. The cubic root of 6841349760 is about 1898.3688456651.

The spelling of 6841349760 in words is "six billion, eight hundred forty-one million, three hundred forty-nine thousand, seven hundred sixty".