213643362240 has 896 divisors, whose sum is σ = 953106186240. Its totient is φ = 43758489600.

The previous prime is 213643362227. The next prime is 213643362241. The reversal of 213643362240 is 42263346312.

213643362240 is a `hidden beast` number, since 2 + 1 + 3 + 643 + 3 + 6 + 2 + 2 + 4 + 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 = 213643362195 and 213643362204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213643362241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47232619 + ... + 47237141.

Almost surely, 2^213643362240 is an apocalyptic number.

213643362240 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 213643362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476553093120).

213643362240 is an abundant number, since it is smaller than the sum of its proper divisors (739462824000).

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

213643362240 is a wasteful number, since it uses less digits than its factorization.

213643362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 213643362240 in words is "two hundred thirteen billion, six hundred forty-three million, three hundred sixty-two thousand, two hundred forty".