216267414720 has 224 divisors, whose sum is σ = 786540057600. Its totient is φ = 49319276544.

The previous prime is 216267414719. The next prime is 216267414733. The reversal of 216267414720 is 27414762612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2913426 + ... + 2986734.

Almost surely, 2^216267414720 is an apocalyptic number.

216267414720 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 216267414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393270028800).

216267414720 is an abundant number, since it is smaller than the sum of its proper divisors (570272642880).

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

216267414720 is a wasteful number, since it uses less digits than its factorization.

216267414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73775 (or 73765 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 216267414720 in words is "two hundred sixteen billion, two hundred sixty-seven million, four hundred fourteen thousand, seven hundred twenty".