668221602048 has 2016 divisors, whose sum is σ = 2777423174400. Its totient is φ = 158018273280.

The previous prime is 668221602031. The next prime is 668221602089. The reversal of 668221602048 is 840206122866.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 668221601994 and 668221602012.

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 223 ways as a sum of consecutive naturals, for example, 9153720540 + ... + 9153720612.

Almost surely, 2^668221602048 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 668221602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388711587200).

668221602048 is an abundant number, since it is smaller than the sum of its proper divisors (2109201572352).

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

668221602048 is an equidigital number, since it uses as much as digits as its factorization.

668221602048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 668221602048 in words is "six hundred sixty-eight billion, two hundred twenty-one million, six hundred two thousand, forty-eight".