667216216656 has 160 divisors (see below), whose sum is σ = 2089709107200. Its totient is φ = 202143553920.

The previous prime is 667216216649. The next prime is 667216216661. The reversal of 667216216656 is 656612612766.

667216216656 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 1 + 621 + 6 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27582775 + ... + 27606953.

It is an arithmetic number, because the mean of its divisors is an integer number (13060681920).

Almost surely, 2^667216216656 is an apocalyptic number.

667216216656 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 667216216656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044854553600).

667216216656 is an abundant number, since it is smaller than the sum of its proper divisors (1422492890544).

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

667216216656 is a wasteful number, since it uses less digits than its factorization.

667216216656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30014 (or 30002 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 667216216656 in words is "six hundred sixty-seven billion, two hundred sixteen million, two hundred sixteen thousand, six hundred fifty-six".