6642810 has 80 divisors (see below), whose sum is σ = 18295200. Its totient is φ = 1728864.

The previous prime is 6642803. The next prime is 6642817. The reversal of 6642810 is 182466.

6642810 is a `hidden beast` number, since 6 + 642 + 8 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (6642803) and next prime (6642817).

It is a super-2 number, since 2×6642810² = 88253849392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6642817) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 47721 + ... + 47859.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^6642810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147600).

6642810 is an abundant number, since it is smaller than the sum of its proper divisors (11652390).

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

6642810 is a wasteful number, since it uses less digits than its factorization.

6642810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6642810 is about 2577.3649334155. The cubic root of 6642810 is about 187.9824376230.

The spelling of 6642810 in words is "six million, six hundred forty-two thousand, eight hundred ten".