216932624064 has 448 divisors, whose sum is σ = 736281463680. Its totient is φ = 62813159424.

The previous prime is 216932624039. The next prime is 216932624071. The reversal of 216932624064 is 460426239612.

216932624064 is a `hidden beast` number, since 2 + 16 + 9 + 3 + 2 + 624 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30929422 + ... + 30936434.

It is an arithmetic number, because the mean of its divisors is an integer number (1643485410).

Almost surely, 2^216932624064 is an apocalyptic number.

216932624064 is a gapful number since it is divisible by the number (24) 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 216932624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368140731840).

216932624064 is an abundant number, since it is smaller than the sum of its proper divisors (519348839616).

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

216932624064 is an equidigital number, since it uses as much as digits as its factorization.

216932624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 216932624064 in words is "two hundred sixteen billion, nine hundred thirty-two million, six hundred twenty-four thousand, sixty-four".