6741221760 has 640 divisors, whose sum is σ = 29650420800. Its totient is φ = 1421328384.

The previous prime is 6741221749. The next prime is 6741221779. The reversal of 6741221760 is 671221476.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716726 + ... + 4718154.

Almost surely, 2^6741221760 is an apocalyptic number.

6741221760 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 6741221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825210400).

6741221760 is an abundant number, since it is smaller than the sum of its proper divisors (22909199040).

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

6741221760 is a wasteful number, since it uses less digits than its factorization.

6741221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6741221760 is about 82104.9435783254. The cubic root of 6741221760 is about 1889.0619683821.

The spelling of 6741221760 in words is "six billion, seven hundred forty-one million, two hundred twenty-one thousand, seven hundred sixty".