8709114960 has 720 divisors, whose sum is σ = 38830545936. Its totient is φ = 1727889408.

The previous prime is 8709114959. The next prime is 8709114989. The reversal of 8709114960 is 694119078.

It is a happy number.

8709114960 is a `hidden beast` number, since 8 + 70 + 91 + 1 + 496 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1353651264 + 7355463696 = 36792^2 + 85764^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7796322 + ... + 7797438.

Almost surely, 2^8709114960 is an apocalyptic number.

8709114960 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 8709114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415272968).

8709114960 is an abundant number, since it is smaller than the sum of its proper divisors (30121430976).

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

8709114960 is a wasteful number, since it uses less digits than its factorization.

8709114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 8709114960 is about 93322.6390539830. The cubic root of 8709114960 is about 2057.4281348746.

The spelling of 8709114960 in words is "eight billion, seven hundred nine million, one hundred fourteen thousand, nine hundred sixty".