6940800000 has 396 divisors, whose sum is σ = 25154100972. Its totient is φ = 1843200000.

The previous prime is 6940799989. The next prime is 6940800043. The reversal of 6940800000 is 80496.

It can be written as a sum of positive squares in 6 ways, for example, as 4965175296 + 1975624704 = 70464^2 + 44448^2 .

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 35 ways as a sum of consecutive naturals, for example, 28799880 + ... + 28800120.

It is an arithmetic number, because the mean of its divisors is an integer number (63520457).

Almost surely, 2^6940800000 is an apocalyptic number.

6940800000 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 6940800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577050486).

6940800000 is an abundant number, since it is smaller than the sum of its proper divisors (18213300972).

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

6940800000 is an equidigital number, since it uses as much as digits as its factorization.

6940800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6940800000 is about 83311.4637970070. The cubic root of 6940800000 is about 1907.5232647246.

Adding to 6940800000 its reverse (80496), we get a palindrome (6940880496).

The spelling of 6940800000 in words is "six billion, nine hundred forty million, eight hundred thousand".