6653760768 has 288 divisors, whose sum is σ = 20582916480. Its totient is φ = 2118205440.

The previous prime is 6653760767. The next prime is 6653760779. The reversal of 6653760768 is 8670673566.

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 not an unprimeable number, because it can be changed into a prime (6653760767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15019555 + ... + 15019997.

It is an arithmetic number, because the mean of its divisors is an integer number (71468460).

Almost surely, 2^6653760768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6653760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291458240).

6653760768 is an abundant number, since it is smaller than the sum of its proper divisors (13929155712).

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

6653760768 is a wasteful number, since it uses less digits than its factorization.

6653760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6653760768 is about 81570.5876403989. The cubic root of 6653760768 is about 1880.8567816498.

The spelling of 6653760768 in words is "six billion, six hundred fifty-three million, seven hundred sixty thousand, seven hundred sixty-eight".