667083210192 has 480 divisors, whose sum is σ = 2282356776960. Its totient is φ = 177873546240.

The previous prime is 667083210151. The next prime is 667083210197. The reversal of 667083210192 is 291012380766.

667083210192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667083210197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97709083 + ... + 97715909.

It is an arithmetic number, because the mean of its divisors is an integer number (4754909952).

Almost surely, 2^667083210192 is an apocalyptic number.

667083210192 is a gapful number since it is divisible by the number (62) 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 667083210192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141178388480).

667083210192 is an abundant number, since it is smaller than the sum of its proper divisors (1615273566768).

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

667083210192 is a wasteful number, since it uses less digits than its factorization.

667083210192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 667083210192 in words is "six hundred sixty-seven billion, eighty-three million, two hundred ten thousand, one hundred ninety-two".