6534005760 has 528 divisors, whose sum is σ = 25291094400. Its totient is φ = 1550057472.

The previous prime is 6534005759. The next prime is 6534005767. The reversal of 6534005760 is 675004356.

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

It is not an unprimeable number, because it can be changed into a prime (6534005767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883621 + ... + 14884059.

It is an arithmetic number, because the mean of its divisors is an integer number (47899800).

Almost surely, 2^6534005760 is an apocalyptic number.

6534005760 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 6534005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645547200).

6534005760 is an abundant number, since it is smaller than the sum of its proper divisors (18757088640).

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

6534005760 is a wasteful number, since it uses less digits than its factorization.

6534005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6534005760 is about 80833.1971407787. The cubic root of 6534005760 is about 1869.5044546599.

The spelling of 6534005760 in words is "six billion, five hundred thirty-four million, five thousand, seven hundred sixty".