213824338640 has 160 divisors (see below), whose sum is σ = 571249152000. Its totient is φ = 73614389760.

The previous prime is 213824338639. The next prime is 213824338699. The reversal of 213824338640 is 46833428312.

213824338640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 213824338591 and 213824338600.

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 31 ways as a sum of consecutive naturals, for example, 34490261 + ... + 34496459.

It is an arithmetic number, because the mean of its divisors is an integer number (3570307200).

Almost surely, 2^213824338640 is an apocalyptic number.

213824338640 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 213824338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285624576000).

213824338640 is an abundant number, since it is smaller than the sum of its proper divisors (357424813360).

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

213824338640 is a wasteful number, since it uses less digits than its factorization.

213824338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 213824338640 in words is "two hundred thirteen billion, eight hundred twenty-four million, three hundred thirty-eight thousand, six hundred forty".