7680368448 has 42 divisors (see below), whose sum is σ = 22014391074. Its totient is φ = 2560122624.

The previous prime is 7680368447. The next prime is 7680368473. The reversal of 7680368448 is 8448630867.

It can be written as a sum of positive squares in only one way, i.e., 6650728704 + 1029639744 = 81552^2 + 32088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7680368394 and 7680368403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680368441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6666411 + ... + 6667562.

Almost surely, 2^7680368448 is an apocalyptic number.

It is an amenable number.

7680368448 is an abundant number, since it is smaller than the sum of its proper divisors (14334022626).

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

7680368448 is a wasteful number, since it uses less digits than its factorization.

7680368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333991 (or 13333978 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 7680368448 is about 87637.7113347901. The cubic root of 7680368448 is about 1973.0012100330.

The spelling of 7680368448 in words is "seven billion, six hundred eighty million, three hundred sixty-eight thousand, four hundred forty-eight".