8715648960 has 336 divisors, whose sum is σ = 31168238400. Its totient is φ = 2233516032.

The previous prime is 8715648959. The next prime is 8715648983. The reversal of 8715648960 is 698465178.

8715648960 is a `hidden beast` number, since 8 + 7 + 156 + 489 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8715648897 and 8715648906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9483381 + ... + 9484299.

Almost surely, 2^8715648960 is an apocalyptic number.

8715648960 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 8715648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584119200).

8715648960 is an abundant number, since it is smaller than the sum of its proper divisors (22452589440).

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

8715648960 is a wasteful number, since it uses less digits than its factorization.

8715648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8715648960 is about 93357.6400730010. The cubic root of 8715648960 is about 2057.9425336769.

The spelling of 8715648960 in words is "eight billion, seven hundred fifteen million, six hundred forty-eight thousand, nine hundred sixty".