218220963840 has 768 divisors, whose sum is σ = 854658604800. Its totient is φ = 52812840960.

The previous prime is 218220963773. The next prime is 218220963937. The reversal of 218220963840 is 48369022812.

218220963840 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 0 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367994584 + ... + 367995176.

It is an arithmetic number, because the mean of its divisors is an integer number (1112836725).

Almost surely, 2^218220963840 is an apocalyptic number.

218220963840 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 218220963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427329302400).

218220963840 is an abundant number, since it is smaller than the sum of its proper divisors (636437640960).

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

218220963840 is an equidigital number, since it uses as much as digits as its factorization.

218220963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 218220963840 in words is "two hundred eighteen billion, two hundred twenty million, nine hundred sixty-three thousand, eight hundred forty".