6795460728 has 288 divisors, whose sum is σ = 23456206800. Its totient is φ = 1763887104.

The previous prime is 6795460717. The next prime is 6795460733. The reversal of 6795460728 is 8270645976.

6795460728 is a `hidden beast` number, since 6 + 7 + 9 + 5 + 4 + 607 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1737351 + ... + 1741257.

Almost surely, 2^6795460728 is an apocalyptic number.

6795460728 is a gapful number since it is divisible by the number (68) 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 6795460728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728103400).

6795460728 is an abundant number, since it is smaller than the sum of its proper divisors (16660746072).

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

6795460728 is a wasteful number, since it uses less digits than its factorization.

6795460728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6795460728 is about 82434.5845382871. The cubic root of 6795460728 is about 1894.1148209083.

The spelling of 6795460728 in words is "six billion, seven hundred ninety-five million, four hundred sixty thousand, seven hundred twenty-eight".