6501358160 has 80 divisors (see below), whose sum is σ = 16513943040. Its totient is φ = 2360670720.

The previous prime is 6501358133. The next prime is 6501358177. The reversal of 6501358160 is 618531056.

It is a Cunningham number, because it is equal to 80631²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6501358160.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 640001 + ... + 650079.

It is an arithmetic number, because the mean of its divisors is an integer number (206424288).

Almost surely, 2^6501358160 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 6501358160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256971520).

6501358160 is an abundant number, since it is smaller than the sum of its proper divisors (10012584880).

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

6501358160 is a wasteful number, since it uses less digits than its factorization.

6501358160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 6501358160 is about 80630.9999937989. Note that the first 5 decimals coincide. The cubic root of 6501358160 is about 1866.3855526219.

The spelling of 6501358160 in words is "six billion, five hundred one million, three hundred fifty-eight thousand, one hundred sixty".