218492732640 has 1152 divisors, whose sum is σ = 915212027520. Its totient is φ = 43352064000.

The previous prime is 218492732639. The next prime is 218492732641. The reversal of 218492732640 is 46237294812.

218492732640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218492732639) and next prime (218492732641).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 218492732640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218492732641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363548340 + ... + 363548940.

It is an arithmetic number, because the mean of its divisors is an integer number (794454885).

Almost surely, 2^218492732640 is an apocalyptic number.

218492732640 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 218492732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457606013760).

218492732640 is an abundant number, since it is smaller than the sum of its proper divisors (696719294880).

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

218492732640 is a wasteful number, since it uses less digits than its factorization.

218492732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 218492732640 in words is "two hundred eighteen billion, four hundred ninety-two million, seven hundred thirty-two thousand, six hundred forty".