6606731617920 has 384 divisors, whose sum is σ = 26083469767680. Its totient is φ = 1509503385600.

The previous prime is 6606731617907. The next prime is 6606731617939. The reversal of 6606731617920 is 297161376066.

It is a happy number.

6606731617920 is a `hidden beast` number, since 6 + 606 + 7 + 3 + 1 + 6 + 1 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104437500 + ... + 104500740.

It is an arithmetic number, because the mean of its divisors is an integer number (67925702520).

Almost surely, 2^{6606731617920} is an apocalyptic number.

6606731617920 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 6606731617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041734883840).

6606731617920 is an abundant number, since it is smaller than the sum of its proper divisors (19476738149760).

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

6606731617920 is a wasteful number, since it uses less digits than its factorization.

6606731617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65864 (or 65849 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 6606731617920 in words is "six trillion, six hundred six billion, seven hundred thirty-one million, six hundred seventeen thousand, nine hundred twenty".