667811217216 has 336 divisors, whose sum is σ = 2098959041088. Its totient is φ = 185750323200.

The previous prime is 667811217197. The next prime is 667811217221. The reversal of 667811217216 is 612712118766.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64598800 + ... + 64609136.

It is an arithmetic number, because the mean of its divisors is an integer number (6246901908).

Almost surely, 2^667811217216 is an apocalyptic number.

667811217216 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 667811217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049479520544).

667811217216 is an abundant number, since it is smaller than the sum of its proper divisors (1431147823872).

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

667811217216 is a wasteful number, since it uses less digits than its factorization.

667811217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10547 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The spelling of 667811217216 in words is "six hundred sixty-seven billion, eight hundred eleven million, two hundred seventeen thousand, two hundred sixteen".