6643427100 has 144 divisors (see below), whose sum is σ = 19888727040. Its totient is φ = 1710374400.

The previous prime is 6643427099. The next prime is 6643427113. The reversal of 6643427100 is 17243466.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7523259 + ... + 7524141.

It is an arithmetic number, because the mean of its divisors is an integer number (138116160).

Almost surely, 2^6643427100 is an apocalyptic number.

6643427100 is a gapful number since it is divisible by the number (60) 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 6643427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944363520).

6643427100 is an abundant number, since it is smaller than the sum of its proper divisors (13245299940).

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

6643427100 is a wasteful number, since it uses less digits than its factorization.

6643427100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 6643427100 is about 81507.2211524844. The cubic root of 6643427100 is about 1879.8825847147.

The spelling of 6643427100 in words is "six billion, six hundred forty-three million, four hundred twenty-seven thousand, one hundred".