8986436640 has 288 divisors, whose sum is σ = 32960753280. Its totient is φ = 2221350912.

The previous prime is 8986436639. The next prime is 8986436687. The reversal of 8986436640 is 466346898.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1637421 + ... + 1642899.

It is an arithmetic number, because the mean of its divisors is an integer number (114447060).

Almost surely, 2^8986436640 is an apocalyptic number.

8986436640 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 8986436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480376640).

8986436640 is an abundant number, since it is smaller than the sum of its proper divisors (23974316640).

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

8986436640 is a wasteful number, since it uses less digits than its factorization.

8986436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 8986436640 is about 94796.8176681053. The cubic root of 8986436640 is about 2079.0383745234.

The spelling of 8986436640 in words is "eight billion, nine hundred eighty-six million, four hundred thirty-six thousand, six hundred forty".