1806646242240 has 672 divisors, whose sum is σ = 7399719235584. Its totient is φ = 395877335040.

The previous prime is 1806646242197. The next prime is 1806646242263. The reversal of 1806646242240 is 422426466081.

1806646242240 is a `hidden beast` number, since 18 + 0 + 6 + 6 + 4 + 624 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 66857212 + ... + 66884228.

Almost surely, 2^{1806646242240} is an apocalyptic number.

1806646242240 is a gapful number since it is divisible by the number (10) 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 1806646242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699859617792).

1806646242240 is an abundant number, since it is smaller than the sum of its proper divisors (5593072993344).

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

1806646242240 is a wasteful number, since it uses less digits than its factorization.

1806646242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27185 (or 27172 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1806646242240 in words is "one trillion, eight hundred six billion, six hundred forty-six million, two hundred forty-two thousand, two hundred forty".