8746716960 has 672 divisors, whose sum is σ = 33316738560. Its totient is φ = 2164838400.

The previous prime is 8746716959. The next prime is 8746716973. The reversal of 8746716960 is 696176478.

It is a happy number.

8746716960 is a `hidden beast` number, since 87 + 467 + 16 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8746716897 and 8746716906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148249411 + ... + 148249469.

It is an arithmetic number, because the mean of its divisors is an integer number (49578480).

Almost surely, 2^8746716960 is an apocalyptic number.

8746716960 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 8746716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658369280).

8746716960 is an abundant number, since it is smaller than the sum of its proper divisors (24570021600).

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

8746716960 is a wasteful number, since it uses less digits than its factorization.

8746716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

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

The square root of 8746716960 is about 93523.8844360092. The cubic root of 8746716960 is about 2060.3848968174.

The spelling of 8746716960 in words is "eight billion, seven hundred forty-six million, seven hundred sixteen thousand, nine hundred sixty".