2068533784800 has 1728 divisors, whose sum is σ = 9479205792000. Its totient is φ = 432355553280.

The previous prime is 2068533784777. The next prime is 2068533784831. The reversal of 2068533784800 is 84873358602.

2068533784800 is a `hidden beast` number, since 2 + 0 + 68 + 5 + 33 + 78 + 480 + 0 = 666.

It is a super-2 number, since 2×2068533784800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 583176627 + ... + 583180173.

It is an arithmetic number, because the mean of its divisors is an integer number (5485651500).

Almost surely, 2^{2068533784800} is an apocalyptic number.

2068533784800 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 2068533784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739602896000).

2068533784800 is an abundant number, since it is smaller than the sum of its proper divisors (7410672007200).

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

2068533784800 is a wasteful number, since it uses less digits than its factorization.

2068533784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2068533784800 in words is "two trillion, sixty-eight billion, five hundred thirty-three million, seven hundred eighty-four thousand, eight hundred".