8506678766880 has 2304 divisors, whose sum is σ = 36285510352896. Its totient is φ = 1659062845440.

The previous prime is 8506678766869. The next prime is 8506678766941. The reversal of 8506678766880 is 886678766058.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15109553479 + ... + 15109554041.

It is an arithmetic number, because the mean of its divisors is an integer number (15748919424).

Almost surely, 2^{8506678766880} is an apocalyptic number.

8506678766880 is a gapful number since it is divisible by the number (80) 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 8506678766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142755176448).

8506678766880 is an abundant number, since it is smaller than the sum of its proper divisors (27778831586016).

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

8506678766880 is a wasteful number, since it uses less digits than its factorization.

8506678766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 8506678766880 in words is "eight trillion, five hundred six billion, six hundred seventy-eight million, seven hundred sixty-six thousand, eight hundred eighty".