7728466720144 has 15 divisors (see below), whose sum is σ = 14973925815403. Its totient is φ = 3864227800048.

The previous prime is 7728466720109. The next prime is 7728466720147. The reversal of 7728466720144 is 4410276648277.

The square root of 7728466720144 is 2780012.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7728466720147) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10772547 + ... + 11467549.

Almost surely, 2^{7728466720144} is an apocalyptic number.

7728466720144 is the 2780012-nd square number.

It is an amenable number.

7728466720144 is a deficient number, since it is larger than the sum of its proper divisors (7245459095259).

7728466720144 is an frugal number, since it uses more digits than its factorization.

7728466720144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390014 (or 695005 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 58.

The spelling of 7728466720144 in words is "seven trillion, seven hundred twenty-eight billion, four hundred sixty-six million, seven hundred twenty thousand, one hundred forty-four".