6649792128 has 192 divisors, whose sum is σ = 22283164800. Its totient is φ = 1863972864.

The previous prime is 6649792111. The next prime is 6649792151. The reversal of 6649792128 is 8212979466.

6649792128 is a `hidden beast` number, since 66 + 497 + 92 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6649792128² = 88439470691221536768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 419613 + ... + 435171.

It is an arithmetic number, because the mean of its divisors is an integer number (116058150).

Almost surely, 2^6649792128 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 6649792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141582400).

6649792128 is an abundant number, since it is smaller than the sum of its proper divisors (15633372672).

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

6649792128 is a wasteful number, since it uses less digits than its factorization.

6649792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639 (or 15624 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 6649792128 is about 81546.2575965323. The cubic root of 6649792128 is about 1880.4827611889.

The spelling of 6649792128 in words is "six billion, six hundred forty-nine million, seven hundred ninety-two thousand, one hundred twenty-eight".