6640418160 has 240 divisors, whose sum is σ = 22719528000. Its totient is φ = 1737854976.

The previous prime is 6640418153. The next prime is 6640418201. The reversal of 6640418160 is 618140466.

6640418160 is a `hidden beast` number, since 6 + 640 + 4 + 1 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11085541 + ... + 11086139.

It is an arithmetic number, because the mean of its divisors is an integer number (94664700).

Almost surely, 2^6640418160 is an apocalyptic number.

6640418160 is a gapful number since it is divisible by the number (60) 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 6640418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359764000).

6640418160 is an abundant number, since it is smaller than the sum of its proper divisors (16079109840).

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

6640418160 is a wasteful number, since it uses less digits than its factorization.

6640418160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6640418160 is about 81488.7609428441. The cubic root of 6640418160 is about 1879.5987298103.

The spelling of 6640418160 in words is "six billion, six hundred forty million, four hundred eighteen thousand, one hundred sixty".