216749866804464 has 640 divisors, whose sum is σ = 698233198215168. Its totient is φ = 56593701964800.

The previous prime is 216749866804459. The next prime is 216749866804481. The reversal of 216749866804464 is 464408668947612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36718592137 + ... + 36718598039.

Almost surely, 2^{216749866804464} is an apocalyptic number.

216749866804464 is a gapful number since it is divisible by the number (24) 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 216749866804464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349116599107584).

216749866804464 is an abundant number, since it is smaller than the sum of its proper divisors (481483331410704).

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

216749866804464 is a wasteful number, since it uses less digits than its factorization.

216749866804464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 75.

The spelling of 216749866804464 in words is "two hundred sixteen trillion, seven hundred forty-nine billion, eight hundred sixty-six million, eight hundred four thousand, four hundred sixty-four".