8706680859744 has 1536 divisors, whose sum is σ = 33200558899200. Its totient is φ = 2161255219200.

The previous prime is 8706680859733. The next prime is 8706680859797. The reversal of 8706680859744 is 4479580866078.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13211958487 + ... + 13211959145.

It is an arithmetic number, because the mean of its divisors is an integer number (21614947200).

Almost surely, 2^{8706680859744} is an apocalyptic number.

8706680859744 is a gapful number since it is divisible by the number (84) 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 8706680859744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600279449600).

8706680859744 is an abundant number, since it is smaller than the sum of its proper divisors (24493878039456).

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

8706680859744 is a wasteful number, since it uses less digits than its factorization.

8706680859744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 8706680859744 in words is "eight trillion, seven hundred six billion, six hundred eighty million, eight hundred fifty-nine thousand, seven hundred forty-four".