7686378910080 has 384 divisors, whose sum is σ = 28600009532640. Its totient is φ = 1890953625600.

The previous prime is 7686378910073. The next prime is 7686378910103. The reversal of 7686378910080 is 800198736867.

7686378910080 is a `hidden beast` number, since 7 + 6 + 86 + 378 + 9 + 100 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135579340 + ... + 135636020.

Almost surely, 2^{7686378910080} 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 7686378910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300004766320).

7686378910080 is an abundant number, since it is smaller than the sum of its proper divisors (20913630622560).

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

7686378910080 is a wasteful number, since it uses less digits than its factorization.

7686378910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58530 (or 58515 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 7686378910080 in words is "seven trillion, six hundred eighty-six billion, three hundred seventy-eight million, nine hundred ten thousand, eighty".