7648781203449 has 81 divisors (see below), whose sum is σ = 11612189748367. Its totient is φ = 4851336074592.

The previous prime is 7648781203439. The next prime is 7648781203457. The reversal of 7648781203449 is 9443021878467.

The square root of 7648781203449 is 2765643.

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

7648781203449 is a `hidden beast` number, since 7 + 6 + 487 + 81 + 2 + 0 + 34 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4010835327849 + 3637945875600 = 2002707^2 + 1907340^2 .

It is not a de Polignac number, because 7648781203449 - 2⁷ = 7648781203321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7648781203439) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19970707912 + ... + 19970708294.

Almost surely, 2^{7648781203449} is an apocalyptic number.

7648781203449 is the 2765643-rd square number.

7648781203449 is the 1382822-nd centered octagonal number.

It is an amenable number.

7648781203449 is a deficient number, since it is larger than the sum of its proper divisors (3963408544918).

7648781203449 is an frugal number, since it uses more digits than its factorization.

7648781203449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7648781203449 in words is "seven trillion, six hundred forty-eight billion, seven hundred eighty-one million, two hundred three thousand, four hundred forty-nine".