1067332241664 has 216 divisors, whose sum is σ = 3315244154040. Its totient is φ = 328296923136.

The previous prime is 1067332241663. The next prime is 1067332241683. The reversal of 1067332241664 is 4661422337601.

1067332241664 is a `hidden beast` number, since 10 + 6 + 7 + 332 + 241 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4387737600 + 1062944504064 = 66240^2 + 1030992^2 .

It is a super-2 number, since 2×1067332241664² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067332241663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141759052 + ... + 141766580.

It is an arithmetic number, because the mean of its divisors is an integer number (15348352565).

Almost surely, 2^{1067332241664} 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 1067332241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657622077020).

1067332241664 is an abundant number, since it is smaller than the sum of its proper divisors (2247911912376).

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

1067332241664 is a wasteful number, since it uses less digits than its factorization.

1067332241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1067332241664 in words is "one trillion, sixty-seven billion, three hundred thirty-two million, two hundred forty-one thousand, six hundred sixty-four".