6579498816 has 168 divisors, whose sum is σ = 20617635168. Its totient is φ = 1989504000.

The previous prime is 6579498799. The next prime is 6579498829. The reversal of 6579498816 is 6188949756.

6579498816 is a `hidden beast` number, since 6 + 579 + 49 + 8 + 8 + 16 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4187311 + ... + 4188881.

Almost surely, 2^6579498816 is an apocalyptic number.

6579498816 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 6579498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308817584).

6579498816 is an abundant number, since it is smaller than the sum of its proper divisors (14038136352).

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

6579498816 is a wasteful number, since it uses less digits than its factorization.

6579498816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2248 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 6579498816 is about 81114.1098453284. The cubic root of 6579498816 is about 1873.8332359168.

The spelling of 6579498816 in words is "six billion, five hundred seventy-nine million, four hundred ninety-eight thousand, eight hundred sixteen".