1806382656000 has 960 divisors, whose sum is σ = 7038072097056. Its totient is φ = 442662912000.

The previous prime is 1806382655983. The next prime is 1806382656031. The reversal of 1806382656000 is 6562836081.

1806382656000 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 3 + 82 + 6 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1356796313856 + 449586342144 = 1164816^2 + 670512^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1806382656000² (a number of 25 digits) contains 22 as substring.

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

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, 2373695620 + ... + 2373696380.

Almost surely, 2^{1806382656000} is an apocalyptic number.

1806382656000 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 1806382656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519036048528).

1806382656000 is an abundant number, since it is smaller than the sum of its proper divisors (5231689441056).

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

1806382656000 is a wasteful number, since it uses less digits than its factorization.

1806382656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1806382656000 in words is "one trillion, eight hundred six billion, three hundred eighty-two million, six hundred fifty-six thousand".