7688072448 has 288 divisors, whose sum is σ = 27353625600. Its totient is φ = 2080733184.

The previous prime is 7688072443. The next prime is 7688072449. The reversal of 7688072448 is 8442708867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7688072394 and 7688072403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7688072443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915115 + ... + 923477.

Almost surely, 2^7688072448 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 7688072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676812800).

7688072448 is an abundant number, since it is smaller than the sum of its proper divisors (19665553152).

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

7688072448 is a wasteful number, since it uses less digits than its factorization.

7688072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 7688072448 is about 87681.6539989980. The cubic root of 7688072448 is about 1973.6606802133.

The spelling of 7688072448 in words is "seven billion, six hundred eighty-eight million, seventy-two thousand, four hundred forty-eight".