8118489600 has 720 divisors, whose sum is σ = 32499482400. Its totient is φ = 1984020480.

The previous prime is 8118489559. The next prime is 8118489601. The reversal of 8118489600 is 69848118.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8118489601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58406331 + ... + 58406469.

It is an arithmetic number, because the mean of its divisors is an integer number (45138170).

Almost surely, 2^8118489600 is an apocalyptic number.

8118489600 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 8118489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249741200).

8118489600 is an abundant number, since it is smaller than the sum of its proper divisors (24380992800).

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

8118489600 is a wasteful number, since it uses less digits than its factorization.

8118489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8118489600 is about 90102.6614479284. The cubic root of 8118489600 is about 2009.8257812910.

The spelling of 8118489600 in words is "eight billion, one hundred eighteen million, four hundred eighty-nine thousand, six hundred".