213642364000 has 576 divisors, whose sum is σ = 594376211520. Its totient is φ = 75383193600.

The previous prime is 213642363983. The next prime is 213642364087. The reversal of 213642364000 is 463246312.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2400475956 + ... + 2400476044.

It is an arithmetic number, because the mean of its divisors is an integer number (1031903145).

Almost surely, 2^213642364000 is an apocalyptic number.

213642364000 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 213642364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297188105760).

213642364000 is an abundant number, since it is smaller than the sum of its proper divisors (380733847520).

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

213642364000 is a wasteful number, since it uses less digits than its factorization.

213642364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 213642364000 in words is "two hundred thirteen billion, six hundred forty-two million, three hundred sixty-four thousand".