213643422720 has 2464 divisors, whose sum is σ = 1028403105408. Its totient is φ = 41278242816.

The previous prime is 213643422697. The next prime is 213643422721. The reversal of 213643422720 is 27224346312.

213643422720 is a `hidden beast` number, since 2 + 1 + 3 + 643 + 4 + 2 + 2 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×213643422720² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (213643422721) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 5774146542 + ... + 5774146578.

Almost surely, 2^213643422720 is an apocalyptic number.

213643422720 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 213643422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514201552704).

213643422720 is an abundant number, since it is smaller than the sum of its proper divisors (814759682688).

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

213643422720 is a wasteful number, since it uses less digits than its factorization.

213643422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 213643422720 in words is "two hundred thirteen billion, six hundred forty-three million, four hundred twenty-two thousand, seven hundred twenty".