2643213006720 has 2304 divisors, whose sum is σ = 11606996943360. Its totient is φ = 545321779200.

The previous prime is 2643213006691. The next prime is 2643213006773. The reversal of 2643213006720 is 276003123462.

2643213006720 is a `hidden beast` number, since 2 + 6 + 4 + 321 + 300 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31845939799 + ... + 31845939881.

It is an arithmetic number, because the mean of its divisors is an integer number (5037759090).

Almost surely, 2^{2643213006720} is an apocalyptic number.

2643213006720 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 2643213006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803498471680).

2643213006720 is an abundant number, since it is smaller than the sum of its proper divisors (8963783936640).

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

2643213006720 is a wasteful number, since it uses less digits than its factorization.

2643213006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 2643213006720 in words is "two trillion, six hundred forty-three billion, two hundred thirteen million, six thousand, seven hundred twenty".