6488648320 has 256 divisors, whose sum is σ = 19446324480. Its totient is φ = 2011299840.

The previous prime is 6488648293. The next prime is 6488648359. The reversal of 6488648320 is 238468846.

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 31 ways as a sum of consecutive naturals, for example, 17395654 + ... + 17396026.

It is an arithmetic number, because the mean of its divisors is an integer number (75962205).

Almost surely, 2^6488648320 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 6488648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723162240).

6488648320 is an abundant number, since it is smaller than the sum of its proper divisors (12957676160).

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

6488648320 is a wasteful number, since it uses less digits than its factorization.

6488648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The square root of 6488648320 is about 80552.1465884057. The cubic root of 6488648320 is about 1865.1685281130.

The spelling of 6488648320 in words is "six billion, four hundred eighty-eight million, six hundred forty-eight thousand, three hundred twenty".