4511168640 has 512 divisors, whose sum is σ = 17704915200. Its totient is φ = 1089884160.

The previous prime is 4511168593. The next prime is 4511168681. The reversal of 4511168640 is 468611154.

4511168640 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 1 + 6 + 8 + 640 = 666.

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 = 4511168595 and 4511168604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396334 + ... + 15396626.

Almost surely, 2^4511168640 is an apocalyptic number.

4511168640 is a gapful number since it is divisible by the number (40) 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 4511168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852457600).

4511168640 is an abundant number, since it is smaller than the sum of its proper divisors (13193746560).

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

4511168640 is an equidigital number, since it uses as much as digits as its factorization.

4511168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4511168640 is about 67165.2338639567. The cubic root of 4511168640 is about 1652.3283492363.

Adding to 4511168640 its reverse (468611154), we get a palindrome (4979779794).

The spelling of 4511168640 in words is "four billion, five hundred eleven million, one hundred sixty-eight thousand, six hundred forty".