6535305920 has 448 divisors, whose sum is σ = 20056522752. Its totient is φ = 1990656000.

The previous prime is 6535305913. The next prime is 6535305979. The reversal of 6535305920 is 295035356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24115385 + ... + 24115655.

It is an arithmetic number, because the mean of its divisors is an integer number (44769024).

Almost surely, 2^6535305920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6535305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028261376).

6535305920 is an abundant number, since it is smaller than the sum of its proper divisors (13521216832).

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

6535305920 is a wasteful number, since it uses less digits than its factorization.

6535305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 38.

The square root of 6535305920 is about 80841.2389811042. The cubic root of 6535305920 is about 1869.6284466795.

The spelling of 6535305920 in words is "six billion, five hundred thirty-five million, three hundred five thousand, nine hundred twenty".