667284480 has 220 divisors, whose sum is σ = 2392656420. Its totient is φ = 177831936.

The previous prime is 667284473. The next prime is 667284491. The reversal of 667284480 is 84482766.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 175509504 = 22176^2 + 13248^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413916 + ... + 415524.

It is an arithmetic number, because the mean of its divisors is an integer number (10875711).

Almost surely, 2^667284480 is an apocalyptic number.

667284480 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 667284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196328210).

667284480 is an abundant number, since it is smaller than the sum of its proper divisors (1725371940).

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

667284480 is a wasteful number, since it uses less digits than its factorization.

667284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 667284480 is about 25831.8501079578. The cubic root of 667284480 is about 873.8502362487.

The spelling of 667284480 in words is "six hundred sixty-seven million, two hundred eighty-four thousand, four hundred eighty".