6815040000 has 400 divisors, whose sum is σ = 23521470720. Its totient is φ = 1751040000.

The previous prime is 6815039999. The next prime is 6815040007. The reversal of 6815040000 is 405186.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815040007) 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 39 ways as a sum of consecutive naturals, for example, 29759886 + ... + 29760114.

Almost surely, 2^6815040000 is an apocalyptic number.

6815040000 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 6815040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760735360).

6815040000 is an abundant number, since it is smaller than the sum of its proper divisors (16706430720).

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

6815040000 is an equidigital number, since it uses as much as digits as its factorization.

6815040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6815040000 is about 82553.2555384704. The cubic root of 6815040000 is about 1895.9322021725.

Adding to 6815040000 its reverse (405186), we get a palindrome (6815445186).

The spelling of 6815040000 in words is "six billion, eight hundred fifteen million, forty thousand".