7688011605120 has 1792 divisors, whose sum is σ = 34582208014080. Its totient is φ = 1586990776320.

The previous prime is 7688011605077. The next prime is 7688011605161. The reversal of 7688011605120 is 215061108867.

7688011605120 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 0 + 11 + 605 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6215045142 + ... + 6215046378.

Almost surely, 2^{7688011605120} is an apocalyptic number.

7688011605120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7688011605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291104007040).

7688011605120 is an abundant number, since it is smaller than the sum of its proper divisors (26894196408960).

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

7688011605120 is a wasteful number, since it uses less digits than its factorization.

7688011605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 7688011605120 in words is "seven trillion, six hundred eighty-eight billion, eleven million, six hundred five thousand, one hundred twenty".