216437664 has 48 divisors (see below), whose sum is σ = 598056480. Its totient is φ = 68348160.

The previous prime is 216437653. The next prime is 216437677. The reversal of 216437664 is 466734612.

It is a happy number.

216437664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 57507 + ... + 61154.

It is an arithmetic number, because the mean of its divisors is an integer number (12459510).

Almost surely, 2^216437664 is an apocalyptic number.

216437664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216437664 is an abundant number, since it is smaller than the sum of its proper divisors (381618816).

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

216437664 is a wasteful number, since it uses less digits than its factorization.

216437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118693 (or 118685 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 216437664 is about 14711.8205535549. The cubic root of 216437664 is about 600.4049710470.

The spelling of 216437664 in words is "two hundred sixteen million, four hundred thirty-seven thousand, six hundred sixty-four".