7689349248 has 128 divisors (see below), whose sum is σ = 24571392000. Its totient is φ = 2081313792.

The previous prime is 7689349211. The next prime is 7689349253. The reversal of 7689349248 is 8429439867.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7689349191 and 7689349200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24208 + ... + 126351.

It is an arithmetic number, because the mean of its divisors is an integer number (191964000).

Almost surely, 2^7689349248 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 7689349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285696000).

7689349248 is an abundant number, since it is smaller than the sum of its proper divisors (16882042752).

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

7689349248 is a wasteful number, since it uses less digits than its factorization.

7689349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150602 (or 150590 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 7689349248 is about 87688.9345812800. The cubic root of 7689349248 is about 1973.7699330195.

The spelling of 7689349248 in words is "seven billion, six hundred eighty-nine million, three hundred forty-nine thousand, two hundred forty-eight".