6649288704 has 288 divisors, whose sum is σ = 20605777920. Its totient is φ = 2139955200.

The previous prime is 6649288687. The next prime is 6649288729. The reversal of 6649288704 is 4078829466.

6649288704 is a `hidden beast` number, since 6 + 6 + 492 + 88 + 70 + 4 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427369 + ... + 15427799.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^6649288704 is an apocalyptic number.

6649288704 is a gapful number since it is divisible by the number (64) 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 6649288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302888960).

6649288704 is an abundant number, since it is smaller than the sum of its proper divisors (13956489216).

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

6649288704 is an equidigital number, since it uses as much as digits as its factorization.

6649288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6649288704 is about 81543.1707992766. The cubic root of 6649288704 is about 1880.4353058687.

The spelling of 6649288704 in words is "six billion, six hundred forty-nine million, two hundred eighty-eight thousand, seven hundred four".