667256675670 has 128 divisors (see below), whose sum is σ = 1919129950080. Its totient is φ = 163998743040.

The previous prime is 667256675633. The next prime is 667256675671. The reversal of 667256675670 is 76576652766.

667256675670 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 5 + 6 + 67 + 567 + 0 = 666.

It is a super-4 number, since 4×667256675670⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 667256675598 and 667256675607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667256675671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2176312 + ... + 2463908.

It is an arithmetic number, because the mean of its divisors is an integer number (14993202735).

Almost surely, 2^667256675670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667256675670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959564975040).

667256675670 is an abundant number, since it is smaller than the sum of its proper divisors (1251873274410).

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

667256675670 is a wasteful number, since it uses less digits than its factorization.

667256675670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288287 (or 288281 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 667256675670 in words is "six hundred sixty-seven billion, two hundred fifty-six million, six hundred seventy-five thousand, six hundred seventy".