667544441088 has 576 divisors, whose sum is σ = 2336227246080. Its totient is φ = 164560896000.

The previous prime is 667544441009. The next prime is 667544441111. The reversal of 667544441088 is 880144445766.

667544441088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53823688 + ... + 53836088.

It is an arithmetic number, because the mean of its divisors is an integer number (4055950080).

Almost surely, 2^667544441088 is an apocalyptic number.

667544441088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667544441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168113623040).

667544441088 is an abundant number, since it is smaller than the sum of its proper divisors (1668682804992).

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

667544441088 is a wasteful number, since it uses less digits than its factorization.

667544441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 667544441088 in words is "six hundred sixty-seven billion, five hundred forty-four million, four hundred forty-one thousand, eighty-eight".