6659540084736 has 1344 divisors, whose sum is σ = 25383785132160. Its totient is φ = 1695561154560.

The previous prime is 6659540084677. The next prime is 6659540084741. The reversal of 6659540084736 is 6374800459566.

6659540084736 is a `hidden beast` number, since 6 + 6 + 5 + 9 + 540 + 0 + 84 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6092899806 + ... + 6092900898.

It is an arithmetic number, because the mean of its divisors is an integer number (18886744890).

Almost surely, 2^{6659540084736} is an apocalyptic number.

6659540084736 is a gapful number since it is divisible by the number (66) 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 6659540084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691892566080).

6659540084736 is an abundant number, since it is smaller than the sum of its proper divisors (18724245047424).

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

6659540084736 is a wasteful number, since it uses less digits than its factorization.

6659540084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 6659540084736 in words is "six trillion, six hundred fifty-nine billion, five hundred forty million, eighty-four thousand, seven hundred thirty-six".