216402354720 has 288 divisors, whose sum is σ = 766534938624. Its totient is φ = 55535155200.

The previous prime is 216402354673. The next prime is 216402354757. The reversal of 216402354720 is 27453204612.

216402354720 is a `hidden beast` number, since 2 + 1 + 640 + 2 + 3 + 5 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8066449 + ... + 8093231.

It is an arithmetic number, because the mean of its divisors is an integer number (2661579648).

Almost surely, 2^216402354720 is an apocalyptic number.

216402354720 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 216402354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383267469312).

216402354720 is an abundant number, since it is smaller than the sum of its proper divisors (550132583904).

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

216402354720 is a wasteful number, since it uses less digits than its factorization.

216402354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016 (or 27005 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 216402354720 in words is "two hundred sixteen billion, four hundred two million, three hundred fifty-four thousand, seven hundred twenty".