6661590211584 has 2112 divisors, whose sum is σ = 27124315545600. Its totient is φ = 1580182732800.

The previous prime is 6661590211579. The next prime is 6661590211643. The reversal of 6661590211584 is 4851120951666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6661590211584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10557194949 + ... + 10557195579.

Almost surely, 2^{6661590211584} is an apocalyptic number.

6661590211584 is a gapful number since it is divisible by the number (64) 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 6661590211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562157772800).

6661590211584 is an abundant number, since it is smaller than the sum of its proper divisors (20462725334016).

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

6661590211584 is a wasteful number, since it uses less digits than its factorization.

6661590211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 6661590211584 in words is "six trillion, six hundred sixty-one billion, five hundred ninety million, two hundred eleven thousand, five hundred eighty-four".