668076480 has 336 divisors, whose sum is σ = 2508199200. Its totient is φ = 162570240.

The previous prime is 668076467. The next prime is 668076491. The reversal of 668076480 is 84670866.

It is a happy number.

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, 1586670 + ... + 1587090.

Almost surely, 2^668076480 is an apocalyptic number.

668076480 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 668076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254099600).

668076480 is an abundant number, since it is smaller than the sum of its proper divisors (1840122720).

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

668076480 is a wasteful number, since it uses less digits than its factorization.

668076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 668076480 is about 25847.1754743144. The cubic root of 668076480 is about 874.1958238626.

The spelling of 668076480 in words is "six hundred sixty-eight million, seventy-six thousand, four hundred eighty".