7680000000000 has 418 divisors, whose sum is σ = 25599950647588. Its totient is φ = 2048000000000.

The previous prime is 7679999999983. The next prime is 7680000000019. The reversal of 7680000000000 is 867.

It is a junction number, because it is equal to n+sod(n) for n = 7679999999895 and 7679999999904.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 1535999999998 + ... + 1536000000002.

Almost surely, 2^{7680000000000} 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 7680000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799975323794).

7680000000000 is an abundant number, since it is smaller than the sum of its proper divisors (17919950647588).

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

7680000000000 is an frugal number, since it uses more digits than its factorization.

7680000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 7680000000000 its reverse (867), we get a palindrome (7680000000867).

The spelling of 7680000000000 in words is "seven trillion, six hundred eighty billion", and thus it is an aban number.