218023280640 has 1200 divisors, whose sum is σ = 890654244480. Its totient is φ = 50536120320.

The previous prime is 218023280627. The next prime is 218023280689. The reversal of 218023280640 is 46082320812.

218023280640 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 2 + 3 + 2 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218023280595 and 218023280604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2116730829 + ... + 2116730931.

Almost surely, 2^218023280640 is an apocalyptic number.

218023280640 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 218023280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445327122240).

218023280640 is an abundant number, since it is smaller than the sum of its proper divisors (672630963840).

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

218023280640 is a wasteful number, since it uses less digits than its factorization.

218023280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 218023280640 in words is "two hundred eighteen billion, twenty-three million, two hundred eighty thousand, six hundred forty".