667711072512 has 216 divisors, whose sum is σ = 2102295861120. Its totient is φ = 202133975040.

The previous prime is 667711072493. The next prime is 667711072541. The reversal of 667711072512 is 215270117766.

667711072512 is a `hidden beast` number, since 6 + 67 + 7 + 1 + 1 + 0 + 72 + 512 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26319738 + ... + 26345094.

Almost surely, 2^667711072512 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 667711072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051147930560).

667711072512 is an abundant number, since it is smaller than the sum of its proper divisors (1434584788608).

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

667711072512 is a wasteful number, since it uses less digits than its factorization.

667711072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26429 (or 26412 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 667711072512 in words is "six hundred sixty-seven billion, seven hundred eleven million, seventy-two thousand, five hundred twelve".