216724155648 has 1728 divisors, whose sum is σ = 879391199232. Its totient is φ = 46324776960.

The previous prime is 216724155647. The next prime is 216724155673. The reversal of 216724155648 is 846551427612.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3225600) is a multiple of the sum of its prime factors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 216724155648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216724155643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2104117965 + ... + 2104118067.

It is an arithmetic number, because the mean of its divisors is an integer number (508906944).

Almost surely, 2^216724155648 is an apocalyptic number.

216724155648 is a gapful number since it is divisible by the number (28) 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 216724155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439695599616).

216724155648 is an abundant number, since it is smaller than the sum of its proper divisors (662667043584).

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

216724155648 is a wasteful number, since it uses less digits than its factorization.

216724155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 216724155648 in words is "two hundred sixteen billion, seven hundred twenty-four million, one hundred fifty-five thousand, six hundred forty-eight".