667226575870680 has 768 divisors, whose sum is σ = 2595563755315200. Its totient is φ = 135964923494400.

The previous prime is 667226575870627. The next prime is 667226575870709. The reversal of 667226575870680 is 86078575622766.

667226575870680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667226575870680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17581245705 + ... + 17581283655.

It is an arithmetic number, because the mean of its divisors is an integer number (3379640306400).

Almost surely, 2^{667226575870680} is an apocalyptic number.

667226575870680 is a gapful number since it is divisible by the number (60) 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 667226575870680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297781877657600).

667226575870680 is an abundant number, since it is smaller than the sum of its proper divisors (1928337179444520).

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

667226575870680 is a wasteful number, since it uses less digits than its factorization.

667226575870680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47272 (or 47261 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 75.

The spelling of 667226575870680 in words is "six hundred sixty-seven trillion, two hundred twenty-six billion, five hundred seventy-five million, eight hundred seventy thousand, six hundred eighty".