7484166144 has 624 divisors, whose sum is σ = 28050177792. Its totient is φ = 1868562432.

The previous prime is 7484166143. The next prime is 7484166149. The reversal of 7484166144 is 4416614847.

7484166144 is a `hidden beast` number, since 7 + 484 + 166 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7484166144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484166143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77156304 + ... + 77156400.

It is an arithmetic number, because the mean of its divisors is an integer number (44952208).

Almost surely, 2^7484166144 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 7484166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025088896).

7484166144 is an abundant number, since it is smaller than the sum of its proper divisors (20566011648).

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

7484166144 is a wasteful number, since it uses less digits than its factorization.

7484166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 7484166144 is about 86511.0752678523. The cubic root of 7484166144 is about 1956.0553511630.

The spelling of 7484166144 in words is "seven billion, four hundred eighty-four million, one hundred sixty-six thousand, one hundred forty-four".