667443161616 has 320 divisors, whose sum is σ = 2337664665600. Its totient is φ = 158753710080.

The previous prime is 667443161591. The next prime is 667443161621. The reversal of 667443161616 is 616161344766.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181235 + ... + 2468333.

It is an arithmetic number, because the mean of its divisors is an integer number (7305202080).

Almost surely, 2^667443161616 is an apocalyptic number.

667443161616 is a gapful number since it is divisible by the number (66) 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 667443161616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168832332800).

667443161616 is an abundant number, since it is smaller than the sum of its proper divisors (1670221503984).

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

667443161616 is a wasteful number, since it uses less digits than its factorization.

667443161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287182 (or 287176 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 667443161616 in words is "six hundred sixty-seven billion, four hundred forty-three million, one hundred sixty-one thousand, six hundred sixteen".