6668016217632 has 960 divisors, whose sum is σ = 26130955124736. Its totient is φ = 1614750474240.

The previous prime is 6668016217627. The next prime is 6668016217637. The reversal of 6668016217632 is 2367126108666.

It is an interprime number because it is at equal distance from previous prime (6668016217627) and next prime (6668016217637).

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

It is not an unprimeable number, because it can be changed into a prime (6668016217637) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 363034113 + ... + 363052479.

Almost surely, 2^{6668016217632} 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 6668016217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065477562368).

6668016217632 is an abundant number, since it is smaller than the sum of its proper divisors (19462938907104).

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

6668016217632 is a wasteful number, since it uses less digits than its factorization.

6668016217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18531 (or 18514 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6668016217632 in words is "six trillion, six hundred sixty-eight billion, sixteen million, two hundred seventeen thousand, six hundred thirty-two".