6536441760 has 384 divisors, whose sum is σ = 22574039040. Its totient is φ = 1584844800.

The previous prime is 6536441753. The next prime is 6536441797. The reversal of 6536441760 is 671446356.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24298906 + ... + 24299174.

It is an arithmetic number, because the mean of its divisors is an integer number (58786560).

Almost surely, 2^6536441760 is an apocalyptic number.

6536441760 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 6536441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287019520).

6536441760 is an abundant number, since it is smaller than the sum of its proper divisors (16037597280).

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

6536441760 is a wasteful number, since it uses less digits than its factorization.

6536441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6536441760 is about 80848.2638032506. The cubic root of 6536441760 is about 1869.7367545784.

The spelling of 6536441760 in words is "six billion, five hundred thirty-six million, four hundred forty-one thousand, seven hundred sixty".