8008846560 has 1152 divisors, whose sum is σ = 35663846400. Its totient is φ = 1605795840.

The previous prime is 8008846553. The next prime is 8008846607. The reversal of 8008846560 is 656488008.

8008846560 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 84 + 6 + 560 = 666.

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 191 ways as a sum of consecutive naturals, for example, 89986996 + ... + 89987084.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^8008846560 is an apocalyptic number.

8008846560 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 8008846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831923200).

8008846560 is an abundant number, since it is smaller than the sum of its proper divisors (27654999840).

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

8008846560 is a wasteful number, since it uses less digits than its factorization.

8008846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8008846560 is about 89492.1592096201. The cubic root of 8008846560 is about 2000.7369417584.

The spelling of 8008846560 in words is "eight billion, eight million, eight hundred forty-six thousand, five hundred sixty".