6815051760 has 320 divisors, whose sum is σ = 23713482240. Its totient is φ = 1605120000.

The previous prime is 6815051723. The next prime is 6815051767. The reversal of 6815051760 is 671505186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815051767) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16264831 + ... + 16265249.

It is an arithmetic number, because the mean of its divisors is an integer number (74104632).

Almost surely, 2^6815051760 is an apocalyptic number.

6815051760 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 6815051760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856741120).

6815051760 is an abundant number, since it is smaller than the sum of its proper divisors (16898430480).

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

6815051760 is a wasteful number, since it uses less digits than its factorization.

6815051760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 6815051760 is about 82553.3267651886. The cubic root of 6815051760 is about 1895.9332927090.

The spelling of 6815051760 in words is "six billion, eight hundred fifteen million, fifty-one thousand, seven hundred sixty".