7282384704 has 210 divisors, whose sum is σ = 25112597730. Its totient is φ = 2080608768.

The previous prime is 7282384687. The next prime is 7282384709. The reversal of 7282384704 is 4074832827.

7282384704 is a `hidden beast` number, since 72 + 82 + 38 + 470 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 366799104 = 83160^2 + 19152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7282384704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282384709) 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 29 ways as a sum of consecutive naturals, for example, 239682 + ... + 268350.

Almost surely, 2^7282384704 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 7282384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556298865).

7282384704 is an abundant number, since it is smaller than the sum of its proper divisors (17830213026).

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

7282384704 is a wasteful number, since it uses less digits than its factorization.

7282384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28707 (or 28681 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 7282384704 is about 85336.8894675685. The cubic root of 7282384704 is about 1938.3158146865.

The spelling of 7282384704 in words is "seven billion, two hundred eighty-two million, three hundred eighty-four thousand, seven hundred four".