6799541760 has 600 divisors, whose sum is σ = 26867842848. Its totient is φ = 1642291200.

The previous prime is 6799541719. The next prime is 6799541779. The reversal of 6799541760 is 671459976.

6799541760 is a `hidden beast` number, since 6 + 7 + 99 + 541 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6799541697 and 6799541706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090425 + ... + 25090695.

Almost surely, 2^6799541760 is an apocalyptic number.

6799541760 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 6799541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433921424).

6799541760 is an abundant number, since it is smaller than the sum of its proper divisors (20068301088).

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

6799541760 is a wasteful number, since it uses less digits than its factorization.

6799541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 6799541760 is about 82459.3339774219. Note that the first 3 decimals coincide. The cubic root of 6799541760 is about 1894.4939169259.

The spelling of 6799541760 in words is "six billion, seven hundred ninety-nine million, five hundred forty-one thousand, seven hundred sixty".