667544867136 has 280 divisors, whose sum is σ = 2268903865536. Its totient is φ = 190102671360.

The previous prime is 667544867117. The next prime is 667544867147. The reversal of 667544867136 is 631768445766.

667544867136 is a `hidden beast` number, since 6 + 6 + 7 + 54 + 486 + 71 + 36 = 666.

It is a super-2 number, since 2×667544867136² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11110456 + ... + 11170376.

Almost surely, 2^667544867136 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 667544867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134451932768).

667544867136 is an abundant number, since it is smaller than the sum of its proper divisors (1601358998400).

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

667544867136 is a wasteful number, since it uses less digits than its factorization.

667544867136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60259 (or 60240 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 667544867136 in words is "six hundred sixty-seven billion, five hundred forty-four million, eight hundred sixty-seven thousand, one hundred thirty-six".