668465280 has 384 divisors, whose sum is σ = 2692310400. Its totient is φ = 149667840.

The previous prime is 668465263. The next prime is 668465321. The reversal of 668465280 is 82564866.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378740 + ... + 2379020.

It is an arithmetic number, because the mean of its divisors is an integer number (7011225).

Almost surely, 2^668465280 is an apocalyptic number.

668465280 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 668465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346155200).

668465280 is an abundant number, since it is smaller than the sum of its proper divisors (2023845120).

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

668465280 is a wasteful number, since it uses less digits than its factorization.

668465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 668465280 is about 25854.6955116474. The cubic root of 668465280 is about 874.3653760188.

The spelling of 668465280 in words is "six hundred sixty-eight million, four hundred sixty-five thousand, two hundred eighty".