8679727336896 has 2100 divisors, whose sum is σ = 35388451620720. Its totient is φ = 2053411430400.

The previous prime is 8679727336829. The next prime is 8679727336909. The reversal of 8679727336896 is 6986337279768.

8679727336896 is a `hidden beast` number, since 8 + 67 + 97 + 27 + 3 + 368 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 279991204401 + ... + 279991204431.

Almost surely, 2^{8679727336896} 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 8679727336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694225810360).

8679727336896 is an abundant number, since it is smaller than the sum of its proper divisors (26708724283824).

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

8679727336896 is an equidigital number, since it uses as much as digits as its factorization.

8679727336896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its digits is 6913299456, while the sum is 81.

The spelling of 8679727336896 in words is "eight trillion, six hundred seventy-nine billion, seven hundred twenty-seven million, three hundred thirty-six thousand, eight hundred ninety-six".