6928657632 has 288 divisors, whose sum is σ = 23448979008. Its totient is φ = 1918844928.

The previous prime is 6928657627. The next prime is 6928657643. The reversal of 6928657632 is 2367568296.

6928657632 is a `hidden beast` number, since 69 + 2 + 8 + 6 + 576 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461538 + ... + 1466270.

It is an arithmetic number, because the mean of its divisors is an integer number (81420066).

Almost surely, 2^6928657632 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 6928657632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724489504).

6928657632 is an abundant number, since it is smaller than the sum of its proper divisors (16520321376).

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

6928657632 is a wasteful number, since it uses less digits than its factorization.

6928657632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4791 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6928657632 is about 83238.5585651265. The cubic root of 6928657632 is about 1906.4102629004.

The spelling of 6928657632 in words is "six billion, nine hundred twenty-eight million, six hundred fifty-seven thousand, six hundred thirty-two".