6644106000 has 960 divisors, whose sum is σ = 28932433920. Its totient is φ = 1469664000.

The previous prime is 6644105983. The next prime is 6644106013. The reversal of 6644106000 is 6014466.

6644106000 is a `hidden beast` number, since 6 + 6 + 44 + 10 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214325985 + ... + 214326015.

It is an arithmetic number, because the mean of its divisors is an integer number (30137952).

Almost surely, 2^6644106000 is an apocalyptic number.

6644106000 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 6644106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466216960).

6644106000 is an abundant number, since it is smaller than the sum of its proper divisors (22288327920).

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

6644106000 is an equidigital number, since it uses as much as digits as its factorization.

6644106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6644106000 is about 81511.3857077648. The cubic root of 6644106000 is about 1879.9466183726.

The spelling of 6644106000 in words is "six billion, six hundred forty-four million, one hundred six thousand".