668753280 has 384 divisors, whose sum is σ = 2575908000. Its totient is φ = 163897344.

The previous prime is 668753269. The next prime is 668753287. The reversal of 668753280 is 82357866.

668753280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668753287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920206 + ... + 2920434.

Almost surely, 2^668753280 is an apocalyptic number.

668753280 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 668753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287954000).

668753280 is an abundant number, since it is smaller than the sum of its proper divisors (1907154720).

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

668753280 is a wasteful number, since it uses less digits than its factorization.

668753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 668753280 is about 25860.2644998074. The cubic root of 668753280 is about 874.4909278265.

The spelling of 668753280 in words is "six hundred sixty-eight million, seven hundred fifty-three thousand, two hundred eighty".