6818048640 has 640 divisors, whose sum is σ = 26789051520. Its totient is φ = 1642291200.

The previous prime is 6818048609. The next prime is 6818048651. The reversal of 6818048640 is 468408186.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 45152565 + ... + 45152715.

It is an arithmetic number, because the mean of its divisors is an integer number (41857893).

Almost surely, 2^6818048640 is an apocalyptic number.

6818048640 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 6818048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394525760).

6818048640 is an abundant number, since it is smaller than the sum of its proper divisors (19971002880).

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

6818048640 is a wasteful number, since it uses less digits than its factorization.

6818048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6818048640 is about 82571.4759466003. The cubic root of 6818048640 is about 1896.2111605869.

The spelling of 6818048640 in words is "six billion, eight hundred eighteen million, forty-eight thousand, six hundred forty".