8711746560 has 704 divisors, whose sum is σ = 35867370240. Its totient is φ = 1981808640.

The previous prime is 8711746559. The next prime is 8711746583. The reversal of 8711746560 is 656471178.

8711746560 is a `hidden beast` number, since 8 + 7 + 11 + 74 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 25850712 + ... + 25851048.

Almost surely, 2^8711746560 is an apocalyptic number.

8711746560 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 8711746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933685120).

8711746560 is an abundant number, since it is smaller than the sum of its proper divisors (27155623680).

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

8711746560 is a wasteful number, since it uses less digits than its factorization.

8711746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8711746560 is about 93336.7374617305. The cubic root of 8711746560 is about 2057.6353424058.

The spelling of 8711746560 in words is "eight billion, seven hundred eleven million, seven hundred forty-six thousand, five hundred sixty".