6791040000 has 550 divisors, whose sum is σ = 25534548204. Its totient is φ = 1797120000.

The previous prime is 6791039989. The next prime is 6791040001. The reversal of 6791040000 is 401976.

It is a super-2 number, since 2×6791040000² = 92236448563200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6791040001) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 51839935 + ... + 51840065.

Almost surely, 2^6791040000 is an apocalyptic number.

6791040000 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 6791040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767274102).

6791040000 is an abundant number, since it is smaller than the sum of its proper divisors (18743508204).

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

6791040000 is an equidigital number, since it uses as much as digits as its factorization.

6791040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6791040000 is about 82407.7666242691. The cubic root of 6791040000 is about 1893.7039984905.

Adding to 6791040000 its reverse (401976), we get a palindrome (6791441976).

The spelling of 6791040000 in words is "six billion, seven hundred ninety-one million, forty thousand".