667627875542016 has 495 divisors, whose sum is σ = 2022998040640731. Its totient is φ = 219315500384256.

The previous prime is 667627875541997. The next prime is 667627875542021. The reversal of 667627875542016 is 610245578726766.

The square root of 667627875542016 is 25838496.

It is a perfect power (a square), and thus also a powerful number.

667627875542016 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 2 + 7 + 8 + 75 + 542 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302943771878400 + 364684103663616 = 17405280^2 + 19096704^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 543228539290 + ... + 543228540518.

Almost surely, 2^{667627875542016} is an apocalyptic number.

667627875542016 is the 25838496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667627875542016

667627875542016 is an abundant number, since it is smaller than the sum of its proper divisors (1355370165098715).

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

667627875542016 is an frugal number, since it uses more digits than its factorization.

667627875542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 667627875542016 in words is "six hundred sixty-seven trillion, six hundred twenty-seven billion, eight hundred seventy-five million, five hundred forty-two thousand, sixteen".