668767320 has 512 divisors, whose sum is σ = 2661120000. Its totient is φ = 147806208.

The previous prime is 668767291. The next prime is 668767367. The reversal of 668767320 is 23767866.

668767320 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6135426 + ... + 6135534.

It is an arithmetic number, because the mean of its divisors is an integer number (5197500).

Almost surely, 2^668767320 is an apocalyptic number.

668767320 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 668767320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560000).

668767320 is an abundant number, since it is smaller than the sum of its proper divisors (1992352680).

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

668767320 is a wasteful number, since it uses less digits than its factorization.

668767320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 668767320 is about 25860.5359573231. The cubic root of 668767320 is about 874.4970475556.

The spelling of 668767320 in words is "six hundred sixty-eight million, seven hundred sixty-seven thousand, three hundred twenty".