8118800640 has 288 divisors, whose sum is σ = 28936172160. Its totient is φ = 2155585536.

The previous prime is 8118800623. The next prime is 8118800693. The reversal of 8118800640 is 460088118.

8118800640 is a `hidden beast` number, since 8 + 1 + 1 + 8 + 8 + 0 + 0 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8118800595 and 8118800604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11991982 + ... + 11992658.

It is an arithmetic number, because the mean of its divisors is an integer number (100472820).

Almost surely, 2^8118800640 is an apocalyptic number.

8118800640 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 8118800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468086080).

8118800640 is an abundant number, since it is smaller than the sum of its proper divisors (20817371520).

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

8118800640 is a wasteful number, since it uses less digits than its factorization.

8118800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8118800640 is about 90104.3874625426. The cubic root of 8118800640 is about 2009.8514481436.

Adding to 8118800640 its reverse (460088118), we get a palindrome (8578888758).

The spelling of 8118800640 in words is "eight billion, one hundred eighteen million, eight hundred thousand, six hundred forty".