8746882560 has 960 divisors, whose sum is σ = 36194558400. Its totient is φ = 1932263424.

The previous prime is 8746882519. The next prime is 8746882567. The reversal of 8746882560 is 652886478.

8746882560 is a `hidden beast` number, since 8 + 74 + 6 + 8 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 8746882497 and 8746882506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8746882567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165035494 + ... + 165035546.

It is an arithmetic number, because the mean of its divisors is an integer number (37702665).

Almost surely, 2^8746882560 is an apocalyptic number.

8746882560 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 8746882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097279200).

8746882560 is an abundant number, since it is smaller than the sum of its proper divisors (27447675840).

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

8746882560 is a wasteful number, since it uses less digits than its factorization.

8746882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 8746882560 is about 93524.7697671585. The cubic root of 8746882560 is about 2060.3978996994.

The spelling of 8746882560 in words is "eight billion, seven hundred forty-six million, eight hundred eighty-two thousand, five hundred sixty".