6505636896 has 144 divisors (see below), whose sum is σ = 20210456448. Its totient is φ = 1968652800.

The previous prime is 6505636889. The next prime is 6505636897. The reversal of 6505636896 is 6986365056.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6505636896² = 84646622845193029632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6505636897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4374265 + ... + 4375751.

It is an arithmetic number, because the mean of its divisors is an integer number (140350392).

Almost surely, 2^6505636896 is an apocalyptic number.

6505636896 is a gapful number since it is divisible by the number (66) 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 6505636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105228224).

6505636896 is an abundant number, since it is smaller than the sum of its proper divisors (13704819552).

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

6505636896 is a wasteful number, since it uses less digits than its factorization.

6505636896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 6505636896 is about 80657.5284520918. The cubic root of 6505636896 is about 1866.7949040019.

The spelling of 6505636896 in words is "six billion, five hundred five million, six hundred thirty-six thousand, eight hundred ninety-six".