7819360801344 has 567 divisors, whose sum is σ = 23891958865593. Its totient is φ = 2445005730816.

The previous prime is 7819360801331. The next prime is 7819360801363. The reversal of 7819360801344 is 4431080639187.

The square root of 7819360801344 is 2796312.

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

7819360801344 is a `hidden beast` number, since 7 + 8 + 19 + 3 + 608 + 0 + 13 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6996871425600 + 822489375744 = 2645160^2 + 906912^2 .

It is a super-2 number, since 2×7819360801344² (a number of 27 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 116706877599 + ... + 116706877665.

Almost surely, 2^{7819360801344} is an apocalyptic number.

7819360801344 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7819360801344 is the 2796312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7819360801344

7819360801344 is an abundant number, since it is smaller than the sum of its proper divisors (16072598064249).

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

7819360801344 is an equidigital number, since it uses as much as digits as its factorization.

7819360801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7819360801344 in words is "seven trillion, eight hundred nineteen billion, three hundred sixty million, eight hundred one thousand, three hundred forty-four".