668063000220 has 768 divisors, whose sum is σ = 2485099008000. Its totient is φ = 134031448320.

The previous prime is 668063000179. The next prime is 668063000233. The reversal of 668063000220 is 22000360866.

668063000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11165 × 6699 × 8932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23036655166 + ... + 23036655194.

It is an arithmetic number, because the mean of its divisors is an integer number (3235806000).

Almost surely, 2^668063000220 is an apocalyptic number.

668063000220 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 668063000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242549504000).

668063000220 is an abundant number, since it is smaller than the sum of its proper divisors (1817036007780).

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

668063000220 is an equidigital number, since it uses as much as digits as its factorization.

668063000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 668063000220 in words is "six hundred sixty-eight billion, sixty-three million, two hundred twenty", and thus it is an aban number.