7218660240 has 240 divisors, whose sum is σ = 26706326400. Its totient is φ = 1732792320.

The previous prime is 7218660233. The next prime is 7218660259. The reversal of 7218660240 is 420668127.

7218660240 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 6 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 7218660195 and 7218660204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811336 + ... + 820184.

It is an arithmetic number, because the mean of its divisors is an integer number (111276360).

Almost surely, 2^7218660240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353163200).

7218660240 is an abundant number, since it is smaller than the sum of its proper divisors (19487666160).

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

7218660240 is a wasteful number, since it uses less digits than its factorization.

7218660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7218660240 is about 84962.6991096681. The cubic root of 7218660240 is about 1932.6455027071.

The spelling of 7218660240 in words is "seven billion, two hundred eighteen million, six hundred sixty thousand, two hundred forty".