667884360192 has 320 divisors, whose sum is σ = 2080375418880. Its totient is φ = 186436878336.

The previous prime is 667884360139. The next prime is 667884360193. The reversal of 667884360192 is 291063488766.

It is not an unprimeable number, because it can be changed into a prime (667884360193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514944888 + ... + 514946184.

It is an arithmetic number, because the mean of its divisors is an integer number (6501173184).

Almost surely, 2^667884360192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667884360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040187709440).

667884360192 is an abundant number, since it is smaller than the sum of its proper divisors (1412491058688).

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

667884360192 is a wasteful number, since it uses less digits than its factorization.

667884360192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 667884360192 in words is "six hundred sixty-seven billion, eight hundred eighty-four million, three hundred sixty thousand, one hundred ninety-two".