667129314880 has 224 divisors, whose sum is σ = 1875612598272. Its totient is φ = 221174323200.

The previous prime is 667129314853. The next prime is 667129314889. The reversal of 667129314880 is 88413921766.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (667129314889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108809415 + ... + 108815545.

It is an arithmetic number, because the mean of its divisors is an integer number (8373270528).

Almost surely, 2^667129314880 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 667129314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937806299136).

667129314880 is an abundant number, since it is smaller than the sum of its proper divisors (1208483283392).

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

667129314880 is a wasteful number, since it uses less digits than its factorization.

667129314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 667129314880 in words is "six hundred sixty-seven billion, one hundred twenty-nine million, three hundred fourteen thousand, eight hundred eighty".