7728720390144 has 576 divisors, whose sum is σ = 25343914377600. Its totient is φ = 2249377579008.

The previous prime is 7728720390143. The next prime is 7728720390187. The reversal of 7728720390144 is 4410930278277.

7728720390144 is a `hidden beast` number, since 77 + 28 + 7 + 20 + 390 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (7728720390143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4839523554 + ... + 4839525150.

It is an arithmetic number, because the mean of its divisors is an integer number (43999851350).

Almost surely, 2^{7728720390144} 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 7728720390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671957188800).

7728720390144 is an abundant number, since it is smaller than the sum of its proper divisors (17615193987456).

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

7728720390144 is a wasteful number, since it uses less digits than its factorization.

7728720390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7728720390144 in words is "seven trillion, seven hundred twenty-eight billion, seven hundred twenty million, three hundred ninety thousand, one hundred forty-four".