6582270816 has 192 divisors, whose sum is σ = 21258236160. Its totient is φ = 1964666880.

The previous prime is 6582270791. The next prime is 6582270829. The reversal of 6582270816 is 6180722856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631600 + ... + 641936.

It is an arithmetic number, because the mean of its divisors is an integer number (110719980).

Almost surely, 2^6582270816 is an apocalyptic number.

6582270816 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 6582270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629118080).

6582270816 is an abundant number, since it is smaller than the sum of its proper divisors (14675965344).

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

6582270816 is a wasteful number, since it uses less digits than its factorization.

6582270816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6582270816 is about 81131.1950854910. The cubic root of 6582270816 is about 1874.0963530418.

The spelling of 6582270816 in words is "six billion, five hundred eighty-two million, two hundred seventy thousand, eight hundred sixteen".