6641516106 has 96 divisors (see below), whose sum is σ = 15844308480. Its totient is φ = 2077871616.

The previous prime is 6641516099. The next prime is 6641516107. The reversal of 6641516106 is 6016151466.

It is a happy number.

6641516106 is a `hidden beast` number, since 6 + 641 + 5 + 1 + 6 + 1 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6641516107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3774855 + ... + 3776613.

It is an arithmetic number, because the mean of its divisors is an integer number (165044880).

Almost surely, 2^6641516106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6641516106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922154240).

6641516106 is an abundant number, since it is smaller than the sum of its proper divisors (9202792374).

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

6641516106 is a wasteful number, since it uses less digits than its factorization.

6641516106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6641516106 is about 81495.4974584486. The cubic root of 6641516106 is about 1879.7023168700.

The spelling of 6641516106 in words is "six billion, six hundred forty-one million, five hundred sixteen thousand, one hundred six".