6581711466 has 96 divisors (see below), whose sum is σ = 16623921600. Its totient is φ = 1859811840.

The previous prime is 6581711419. The next prime is 6581711471. The reversal of 6581711466 is 6641171856.

6581711466 is a `hidden beast` number, since 6 + 581 + 7 + 1 + 1 + 4 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357925 + ... + 375863.

It is an arithmetic number, because the mean of its divisors is an integer number (173165850).

Almost surely, 2^6581711466 is an apocalyptic number.

6581711466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6581711466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311960800).

6581711466 is an abundant number, since it is smaller than the sum of its proper divisors (10042210134).

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

6581711466 is a wasteful number, since it uses less digits than its factorization.

6581711466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18084 (or 18081 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 6581711466 is about 81127.7478178706. The cubic root of 6581711466 is about 1874.0432657148.

The spelling of 6581711466 in words is "six billion, five hundred eighty-one million, seven hundred eleven thousand, four hundred sixty-six".