6796056960 has 864 divisors, whose sum is σ = 30157218000. Its totient is φ = 1405071360.

The previous prime is 6796056937. The next prime is 6796056977. The reversal of 6796056960 is 696506976.

6796056960 is a `hidden beast` number, since 6 + 79 + 6 + 0 + 569 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6796056897 and 6796056906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34150941 + ... + 34151139.

Almost surely, 2^6796056960 is an apocalyptic number.

6796056960 is a gapful number since it is divisible by the number (60) 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 6796056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078609000).

6796056960 is an abundant number, since it is smaller than the sum of its proper divisors (23361161040).

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

6796056960 is a wasteful number, since it uses less digits than its factorization.

6796056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 6796056960 is about 82438.2008537304. The cubic root of 6796056960 is about 1894.1702156729.

The spelling of 6796056960 in words is "six billion, seven hundred ninety-six million, fifty-six thousand, nine hundred sixty".