7648659920 has 160 divisors (see below), whose sum is σ = 19766592000. Its totient is φ = 2729226240.

The previous prime is 7648659917. The next prime is 7648659937. The reversal of 7648659920 is 299568467.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18700676 + ... + 18701084.

It is an arithmetic number, because the mean of its divisors is an integer number (123541200).

Almost surely, 2^7648659920 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 7648659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883296000).

7648659920 is an abundant number, since it is smaller than the sum of its proper divisors (12117932080).

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

7648659920 is a wasteful number, since it uses less digits than its factorization.

7648659920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The square root of 7648659920 is about 87456.6173596944. The cubic root of 7648659920 is about 1970.2822755093.

The spelling of 7648659920 in words is "seven billion, six hundred forty-eight million, six hundred fifty-nine thousand, nine hundred twenty".