6606816624 has 160 divisors (see below), whose sum is σ = 20124694080. Its totient is φ = 2068070400.

The previous prime is 6606816617. The next prime is 6606816647. The reversal of 6606816624 is 4266186066.

6606816624 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 8 + 16 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6606816624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4853704 + ... + 4855064.

It is an arithmetic number, because the mean of its divisors is an integer number (125779338).

Almost surely, 2^6606816624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6606816624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062347040).

6606816624 is an abundant number, since it is smaller than the sum of its proper divisors (13517877456).

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

6606816624 is a wasteful number, since it uses less digits than its factorization.

6606816624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6606816624 is about 81282.3266399283. The cubic root of 6606816624 is about 1876.4230144627.

The spelling of 6606816624 in words is "six billion, six hundred six million, eight hundred sixteen thousand, six hundred twenty-four".