6615516006 has 72 divisors (see below), whose sum is σ = 15870850632. Its totient is φ = 1989979200.

The previous prime is 6615515947. The next prime is 6615516023. The reversal of 6615516006 is 6006155166.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287301 + ... + 309471.

It is an arithmetic number, because the mean of its divisors is an integer number (220428481).

Almost surely, 2^6615516006 is an apocalyptic number.

6615516006 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 6615516006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935425316).

6615516006 is an abundant number, since it is smaller than the sum of its proper divisors (9255334626).

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

6615516006 is a wasteful number, since it uses less digits than its factorization.

6615516006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6615516006 is about 81335.8224031699. The cubic root of 6615516006 is about 1877.2462329720.

The spelling of 6615516006 in words is "six billion, six hundred fifteen million, five hundred sixteen thousand, six".