668860033920 has 1536 divisors, whose sum is σ = 2612642688000. Its totient is φ = 144735731712.

The previous prime is 668860033879. The next prime is 668860033921. The reversal of 668860033920 is 29330068866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668860033921) by changing a digit.

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, 7515281236 + ... + 7515281324.

It is an arithmetic number, because the mean of its divisors is an integer number (1700939250).

Almost surely, 2^668860033920 is an apocalyptic number.

668860033920 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 668860033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306321344000).

668860033920 is an abundant number, since it is smaller than the sum of its proper divisors (1943782654080).

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

668860033920 is a wasteful number, since it uses less digits than its factorization.

668860033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 668860033920 in words is "six hundred sixty-eight billion, eight hundred sixty million, thirty-three thousand, nine hundred twenty".