8485706880 has 768 divisors, whose sum is σ = 35976787200. Its totient is φ = 1851310080.

The previous prime is 8485706861. The next prime is 8485706891. The reversal of 8485706880 is 886075848.

8485706880 is a `hidden beast` number, since 8 + 4 + 8 + 570 + 68 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116242524 + ... + 116242596.

It is an arithmetic number, because the mean of its divisors is an integer number (46844775).

Almost surely, 2^8485706880 is an apocalyptic number.

8485706880 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 8485706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17988393600).

8485706880 is an abundant number, since it is smaller than the sum of its proper divisors (27491080320).

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

8485706880 is a wasteful number, since it uses less digits than its factorization.

8485706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8485706880 is about 92117.8966325220. The cubic root of 8485706880 is about 2039.6829957246.

The spelling of 8485706880 in words is "eight billion, four hundred eighty-five million, seven hundred six thousand, eight hundred eighty".