8680107744 has 864 divisors, whose sum is σ = 34508073600. Its totient is φ = 2116316160.

The previous prime is 8680107743. The next prime is 8680107757. The reversal of 8680107744 is 4477010868.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 8680107744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680107743) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79633962 + ... + 79634070.

It is an arithmetic number, because the mean of its divisors is an integer number (39939900).

Almost surely, 2^8680107744 is an apocalyptic number.

8680107744 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 8680107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254036800).

8680107744 is an abundant number, since it is smaller than the sum of its proper divisors (25827965856).

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

8680107744 is a wasteful number, since it uses less digits than its factorization.

8680107744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8680107744 is about 93167.0958225059. The cubic root of 8680107744 is about 2055.1413872565.

The spelling of 8680107744 in words is "eight billion, six hundred eighty million, one hundred seven thousand, seven hundred forty-four".