667216217504 has 72 divisors (see below), whose sum is σ = 1361022481728. Its totient is φ = 321966444800.

The previous prime is 667216217501. The next prime is 667216217509. The reversal of 667216217504 is 405712612766.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (667216217501) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93300329 + ... + 93307479.

It is an arithmetic number, because the mean of its divisors is an integer number (18903090024).

Almost surely, 2^667216217504 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 667216217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680511240864).

667216217504 is an abundant number, since it is smaller than the sum of its proper divisors (693806264224).

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

667216217504 is a wasteful number, since it uses less digits than its factorization.

667216217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 667216217504 in words is "six hundred sixty-seven billion, two hundred sixteen million, two hundred seventeen thousand, five hundred four".