7680688128 has 216 divisors, whose sum is σ = 23555121408. Its totient is φ = 2403336192.

The previous prime is 7680688073. The next prime is 7680688151. The reversal of 7680688128 is 8218860867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20053825 + ... + 20054207.

It is an arithmetic number, because the mean of its divisors is an integer number (109051488).

Almost surely, 2^7680688128 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 7680688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777560704).

7680688128 is an abundant number, since it is smaller than the sum of its proper divisors (15874433280).

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

7680688128 is an equidigital number, since it uses as much as digits as its factorization.

7680688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 7680688128 is about 87639.5351881786. The cubic root of 7680688128 is about 1973.0285837317.

The spelling of 7680688128 in words is "seven billion, six hundred eighty million, six hundred eighty-eight thousand, one hundred twenty-eight".