2643449320800 has 720 divisors, whose sum is σ = 9917977208832. Its totient is φ = 684783590400.

The previous prime is 2643449320781. The next prime is 2643449320823. The reversal of 2643449320800 is 80239443462.

2643449320800 is a `hidden beast` number, since 2 + 6 + 434 + 4 + 9 + 3 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 532199917 + ... + 532204883.

Almost surely, 2^{2643449320800} is an apocalyptic number.

2643449320800 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 2643449320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958988604416).

2643449320800 is an abundant number, since it is smaller than the sum of its proper divisors (7274527888032).

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

2643449320800 is a wasteful number, since it uses less digits than its factorization.

2643449320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2643449320800 in words is "two trillion, six hundred forty-three billion, four hundred forty-nine million, three hundred twenty thousand, eight hundred".