668213280 has 384 divisors, whose sum is σ = 2815948800. Its totient is φ = 144571392.

The previous prime is 668213269. The next prime is 668213323. The reversal of 668213280 is 82312866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573979 + ... + 575141.

It is an arithmetic number, because the mean of its divisors is an integer number (7333200).

Almost surely, 2^668213280 is an apocalyptic number.

668213280 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 668213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407974400).

668213280 is an abundant number, since it is smaller than the sum of its proper divisors (2147735520).

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

668213280 is a wasteful number, since it uses less digits than its factorization.

668213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 668213280 is about 25849.8216628278. The cubic root of 668213280 is about 874.2554886019.

The spelling of 668213280 in words is "six hundred sixty-eight million, two hundred thirteen thousand, two hundred eighty".