6811835940 has 960 divisors, whose sum is σ = 28686873600. Its totient is φ = 1341204480.

The previous prime is 6811835923. The next prime is 6811835941. The reversal of 6811835940 is 495381186.

It is a super-2 number, since 2×6811835940² = 92802217746951367200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6811835941) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 166142320 + ... + 166142360.

It is an arithmetic number, because the mean of its divisors is an integer number (29882160).

Almost surely, 2^6811835940 is an apocalyptic number.

6811835940 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 6811835940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343436800).

6811835940 is an abundant number, since it is smaller than the sum of its proper divisors (21875037660).

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

6811835940 is a wasteful number, since it uses less digits than its factorization.

6811835940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6811835940 is about 82533.8472385724. The cubic root of 6811835940 is about 1895.6350343019.

The spelling of 6811835940 in words is "six billion, eight hundred eleven million, eight hundred thirty-five thousand, nine hundred forty".