213670326240 has 864 divisors, whose sum is σ = 898025558976. Its totient is φ = 45161349120.

The previous prime is 213670326187. The next prime is 213670326241. The reversal of 213670326240 is 42623076312.

213670326240 is a `hidden beast` number, since 21 + 3 + 6 + 7 + 0 + 3 + 2 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213670326195 and 213670326204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213670326241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1180498950 + ... + 1180499130.

It is an arithmetic number, because the mean of its divisors is an integer number (1039381434).

Almost surely, 2^213670326240 is an apocalyptic number.

213670326240 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 213670326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449012779488).

213670326240 is an abundant number, since it is smaller than the sum of its proper divisors (684355232736).

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

213670326240 is a wasteful number, since it uses less digits than its factorization.

213670326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 298 counting only the distinct ones).

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

The spelling of 213670326240 in words is "two hundred thirteen billion, six hundred seventy million, three hundred twenty-six thousand, two hundred forty".