8709367680 has 576 divisors, whose sum is σ = 34069183200. Its totient is φ = 2045362176.

The previous prime is 8709367679. The next prime is 8709367697. The reversal of 8709367680 is 867639078.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22388926 + ... + 22389314.

Almost surely, 2^8709367680 is an apocalyptic number.

8709367680 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 8709367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034591600).

8709367680 is an abundant number, since it is smaller than the sum of its proper divisors (25359815520).

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

8709367680 is a wasteful number, since it uses less digits than its factorization.

8709367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8709367680 is about 93323.9930564482. The cubic root of 8709367680 is about 2057.4480354122.

The spelling of 8709367680 in words is "eight billion, seven hundred nine million, three hundred sixty-seven thousand, six hundred eighty".