668532480 has 864 divisors, whose sum is σ = 3019887360. Its totient is φ = 123863040.

The previous prime is 668532451. The next prime is 668532493. The reversal of 668532480 is 84235866.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35185911 + ... + 35185929.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^668532480 is an apocalyptic number.

668532480 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 668532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509943680).

668532480 is an abundant number, since it is smaller than the sum of its proper divisors (2351354880).

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

668532480 is a wasteful number, since it uses less digits than its factorization.

668532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 668532480 is about 25855.9950495045. The cubic root of 668532480 is about 874.3946746656.

The spelling of 668532480 in words is "six hundred sixty-eight million, five hundred thirty-two thousand, four hundred eighty".