618227730720 has 288 divisors, whose sum is σ = 2210407774848. Its totient is φ = 163160137728.

The previous prime is 618227730709. The next prime is 618227730727. The reversal of 618227730720 is 27037722816.

618227730720 is a `hidden beast` number, since 618 + 2 + 2 + 7 + 7 + 3 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (618227730727) 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 47 ways as a sum of consecutive naturals, for example, 3689397 + ... + 3853323.

It is an arithmetic number, because the mean of its divisors is an integer number (7675026996).

Almost surely, 2^618227730720 is an apocalyptic number.

618227730720 is a gapful number since it is divisible by the number (60) 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 618227730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105203887424).

618227730720 is an abundant number, since it is smaller than the sum of its proper divisors (1592180044128).

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

618227730720 is a wasteful number, since it uses less digits than its factorization.

618227730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164054 (or 164034 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 618227730720 in words is "six hundred eighteen billion, two hundred twenty-seven million, seven hundred thirty thousand, seven hundred twenty".