7648320768 has 144 divisors (see below), whose sum is σ = 22378954752. Its totient is φ = 2299648000.

The previous prime is 7648320751. The next prime is 7648320817. The reversal of 7648320768 is 8670238467.

It is a self number, because there is not a number n which added to its sum of digits gives 7648320768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103233 + ... + 1110143.

It is an arithmetic number, because the mean of its divisors is an integer number (155409408).

Almost surely, 2^7648320768 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 7648320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189477376).

7648320768 is an abundant number, since it is smaller than the sum of its proper divisors (14730633984).

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

7648320768 is a wasteful number, since it uses less digits than its factorization.

7648320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 7648320768 is about 87454.6783654254. The cubic root of 7648320768 is about 1970.2531534122.

The spelling of 7648320768 in words is "seven billion, six hundred forty-eight million, three hundred twenty thousand, seven hundred sixty-eight".