216934375680 has 648 divisors, whose sum is σ = 868534517760. Its totient is φ = 49816166400.

The previous prime is 216934375673. The next prime is 216934375739. The reversal of 216934375680 is 86573439612.

216934375680 is a `hidden beast` number, since 2 + 16 + 9 + 34 + 37 + 568 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 26480385 + ... + 26488575.

It is a 1-persistent number, because it is pandigital, but 2⋅216934375680 = 433868751360 is not.

Almost surely, 2^216934375680 is an apocalyptic number.

216934375680 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 216934375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434267258880).

216934375680 is an abundant number, since it is smaller than the sum of its proper divisors (651600142080).

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

216934375680 is a wasteful number, since it uses less digits than its factorization.

216934375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 216934375680 in words is "two hundred sixteen billion, nine hundred thirty-four million, three hundred seventy-five thousand, six hundred eighty".