218763296640 has 768 divisors, whose sum is σ = 934342456320. Its totient is φ = 47823519744.

The previous prime is 218763296597. The next prime is 218763296657. The reversal of 218763296640 is 46692367812.

218763296640 is a `hidden beast` number, since 218 + 7 + 6 + 329 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25034352 + ... + 25043088.

It is an arithmetic number, because the mean of its divisors is an integer number (1216591740).

Almost surely, 2^218763296640 is an apocalyptic number.

218763296640 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 218763296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467171228160).

218763296640 is an abundant number, since it is smaller than the sum of its proper divisors (715579159680).

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

218763296640 is an equidigital number, since it uses as much as digits as its factorization.

218763296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 218763296640 in words is "two hundred eighteen billion, seven hundred sixty-three million, two hundred ninety-six thousand, six hundred forty".