216837630720 has 1152 divisors, whose sum is σ = 856517760000. Its totient is φ = 51725205504.

The previous prime is 216837630673. The next prime is 216837630721. The reversal of 216837630720 is 27036738612.

216837630720 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 3 + 7 + 630 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (216837630721) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1123510944 + ... + 1123511136.

It is an arithmetic number, because the mean of its divisors is an integer number (743505000).

Almost surely, 2^216837630720 is an apocalyptic number.

216837630720 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 216837630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428258880000).

216837630720 is an abundant number, since it is smaller than the sum of its proper divisors (639680129280).

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

216837630720 is a wasteful number, since it uses less digits than its factorization.

216837630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 216837630720 in words is "two hundred sixteen billion, eight hundred thirty-seven million, six hundred thirty thousand, seven hundred twenty".