667353473280 has 648 divisors, whose sum is σ = 2532481660800. Its totient is φ = 162154856448.

The previous prime is 667353473263. The next prime is 667353473287. The reversal of 667353473280 is 82374353766.

667353473280 is a `hidden beast` number, since 6 + 6 + 7 + 353 + 4 + 7 + 3 + 280 = 666.

It is not an unprimeable number, because it can be changed into a prime (667353473287) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 153801351 + ... + 153805689.

Almost surely, 2^667353473280 is an apocalyptic number.

667353473280 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 667353473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266240830400).

667353473280 is an abundant number, since it is smaller than the sum of its proper divisors (1865128187520).

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

667353473280 is a wasteful number, since it uses less digits than its factorization.

667353473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 667353473280 in words is "six hundred sixty-seven billion, three hundred fifty-three million, four hundred seventy-three thousand, two hundred eighty".