6489941760 has 432 divisors, whose sum is σ = 24565282560. Its totient is φ = 1574830080.

The previous prime is 6489941723. The next prime is 6489941771. The reversal of 6489941760 is 671499846.

6489941760 is a `hidden beast` number, since 6 + 489 + 94 + 1 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6489941697 and 6489941706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070506 + ... + 6071574.

It is an arithmetic number, because the mean of its divisors is an integer number (56864080).

Almost surely, 2^6489941760 is an apocalyptic number.

6489941760 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 6489941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282641280).

6489941760 is an abundant number, since it is smaller than the sum of its proper divisors (18075340800).

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

6489941760 is a wasteful number, since it uses less digits than its factorization.

6489941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6489941760 is about 80560.1747763745. The cubic root of 6489941760 is about 1865.2924534248.

The spelling of 6489941760 in words is "six billion, four hundred eighty-nine million, nine hundred forty-one thousand, seven hundred sixty".