216624784320 has 448 divisors, whose sum is σ = 874950589440. Its totient is φ = 49425002496.

The previous prime is 216624784289. The next prime is 216624784333. The reversal of 216624784320 is 23487426612.

It is a happy number.

216624784320 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 247 + 84 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37071319 + ... + 37077161.

Almost surely, 2^216624784320 is an apocalyptic number.

216624784320 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 216624784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437475294720).

216624784320 is an abundant number, since it is smaller than the sum of its proper divisors (658325805120).

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

216624784320 is a wasteful number, since it uses less digits than its factorization.

216624784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 216624784320 in words is "two hundred sixteen billion, six hundred twenty-four million, seven hundred eighty-four thousand, three hundred twenty".