213663744000 has 1440 divisors, whose sum is σ = 950056563456. Its totient is φ = 46714060800.

The previous prime is 213663743981. The next prime is 213663744011. The reversal of 213663744000 is 447366312.

It is a happy number.

213663744000 is a `hidden beast` number, since 2 + 13 + 6 + 637 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9289727989 + ... + 9289728011.

Almost surely, 2^213663744000 is an apocalyptic number.

213663744000 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 213663744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475028281728).

213663744000 is an abundant number, since it is smaller than the sum of its proper divisors (736392819456).

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

213663744000 is an frugal number, since it uses more digits than its factorization.

213663744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

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

The spelling of 213663744000 in words is "two hundred thirteen billion, six hundred sixty-three million, seven hundred forty-four thousand".