218968687680 has 672 divisors, whose sum is σ = 770612282496. Its totient is φ = 52621737984.

The previous prime is 218968687673. The next prime is 218968687711. The reversal of 218968687680 is 86786869812.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852018112 + ... + 852018368.

It is an arithmetic number, because the mean of its divisors is an integer number (1146744468).

Almost surely, 2^218968687680 is an apocalyptic number.

218968687680 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 218968687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385306141248).

218968687680 is an abundant number, since it is smaller than the sum of its proper divisors (551643594816).

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

218968687680 is a wasteful number, since it uses less digits than its factorization.

218968687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 218968687680 in words is "two hundred eighteen billion, nine hundred sixty-eight million, six hundred eighty-seven thousand, six hundred eighty".