667456433280 has 1280 divisors, whose sum is σ = 2956250626560. Its totient is φ = 139744051200.

The previous prime is 667456433263. The next prime is 667456433299. The reversal of 667456433280 is 82334654766.

667456433280 is a `hidden beast` number, since 6 + 6 + 74 + 564 + 3 + 3 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 712332972 + ... + 712333908.

It is an arithmetic number, because the mean of its divisors is an integer number (2309570802).

Almost surely, 2^667456433280 is an apocalyptic number.

667456433280 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 667456433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478125313280).

667456433280 is an abundant number, since it is smaller than the sum of its proper divisors (2288794193280).

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

667456433280 is a wasteful number, since it uses less digits than its factorization.

667456433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 667456433280 in words is "six hundred sixty-seven billion, four hundred fifty-six million, four hundred thirty-three thousand, two hundred eighty".