7680007600128 has 288 divisors, whose sum is σ = 23080771022400. Its totient is φ = 2458245464064.

The previous prime is 7680007600127. The next prime is 7680007600171. The reversal of 7680007600128 is 8210067000867.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680007600123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45830478 + ... + 45997746.

It is an arithmetic number, because the mean of its divisors is an integer number (80141566050).

Almost surely, 2^{7680007600128} 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 7680007600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540385511200).

7680007600128 is an abundant number, since it is smaller than the sum of its proper divisors (15400763422272).

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

7680007600128 is a wasteful number, since it uses less digits than its factorization.

7680007600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167397 (or 167374 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 7680007600128 in words is "seven trillion, six hundred eighty billion, seven million, six hundred thousand, one hundred twenty-eight".