6811439040 has 840 divisors, whose sum is σ = 29262701952. Its totient is φ = 1497968640.

The previous prime is 6811439017. The next prime is 6811439059. The reversal of 6811439040 is 409341186.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×6811439040² = 92791403591272243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6811438986 and 6811439004.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 39372394 + ... + 39372566.

Almost surely, 2^6811439040 is an apocalyptic number.

6811439040 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 6811439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631350976).

6811439040 is an abundant number, since it is smaller than the sum of its proper divisors (22451262912).

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

6811439040 is a wasteful number, since it uses less digits than its factorization.

6811439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6811439040 is about 82531.4427354811. The cubic root of 6811439040 is about 1895.5982164178.

The spelling of 6811439040 in words is "six billion, eight hundred eleven million, four hundred thirty-nine thousand, forty".