2067543728640 has 360 divisors, whose sum is σ = 7753676338980. Its totient is φ = 508932882432.

The previous prime is 2067543728617. The next prime is 2067543728641. The reversal of 2067543728640 is 468273457602.

2067543728640 is a `hidden beast` number, since 20 + 6 + 7 + 543 + 72 + 8 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 541389867264 + 1526153861376 = 735792^2 + 1235376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2067543728641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3628266 + ... + 4159254.

Almost surely, 2^{2067543728640} is an apocalyptic number.

2067543728640 is a gapful number since it is divisible by the number (20) 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 2067543728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876838169490).

2067543728640 is an abundant number, since it is smaller than the sum of its proper divisors (5686132610340).

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

2067543728640 is a wasteful number, since it uses less digits than its factorization.

2067543728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531044 (or 531012 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2067543728640 in words is "two trillion, sixty-seven billion, five hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty".