6835564728 has 144 divisors (see below), whose sum is σ = 19848903360. Its totient is φ = 2204496000.

The previous prime is 6835564717. The next prime is 6835564751. The reversal of 6835564728 is 8274655386.

6835564728 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 564 + 72 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1625028 + ... + 1629228.

Almost surely, 2^6835564728 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 6835564728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924451680).

6835564728 is an abundant number, since it is smaller than the sum of its proper divisors (13013338632).

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

6835564728 is an equidigital number, since it uses as much as digits as its factorization.

6835564728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4237 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6835564728 is about 82677.4741268745. The cubic root of 6835564728 is about 1897.8336091085.

The spelling of 6835564728 in words is "six billion, eight hundred thirty-five million, five hundred sixty-four thousand, seven hundred twenty-eight".