7984218804496 has 135 divisors (see below), whose sum is σ = 17158275740389. Its totient is φ = 3596469500800.

The previous prime is 7984218804467. The next prime is 7984218804539. The reversal of 7984218804496 is 6944088124897.

The square root of 7984218804496 is 2825636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 935406202896 + 7048812601600 = 967164^2 + 2654960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18524869401 + ... + 18524869831.

Almost surely, 2^{7984218804496} is an apocalyptic number.

7984218804496 is the 2825636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7984218804496

7984218804496 is an abundant number, since it is smaller than the sum of its proper divisors (9174056935893).

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

7984218804496 is an equidigital number, since it uses as much as digits as its factorization.

7984218804496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 70.

The spelling of 7984218804496 in words is "seven trillion, nine hundred eighty-four billion, two hundred eighteen million, eight hundred four thousand, four hundred ninety-six".