667558013472 has 432 divisors, whose sum is σ = 2348588118240. Its totient is φ = 178822619136.

The previous prime is 667558013467. The next prime is 667558013503. The reversal of 667558013472 is 274310855766.

667558013472 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 580 + 13 + 47 + 2 = 666.

667558013472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25995583 + ... + 26021249.

It is an arithmetic number, because the mean of its divisors is an integer number (5436546570).

Almost surely, 2^667558013472 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 667558013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174294059120).

667558013472 is an abundant number, since it is smaller than the sum of its proper divisors (1681030104768).

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

667558013472 is a wasteful number, since it uses less digits than its factorization.

667558013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25813 (or 25795 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 667558013472 in words is "six hundred sixty-seven billion, five hundred fifty-eight million, thirteen thousand, four hundred seventy-two".