6801340440 has 32 divisors (see below), whose sum is σ = 20404021680. Its totient is φ = 1813690752.

The previous prime is 6801340421. The next prime is 6801340457. The reversal of 6801340440 is 440431086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6801340398 and 6801340407.

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 7 ways as a sum of consecutive naturals, for example, 28338799 + ... + 28339038.

Almost surely, 2^6801340440 is an apocalyptic number.

6801340440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6801340440 is an abundant number, since it is smaller than the sum of its proper divisors (13602681240).

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

6801340440 is a wasteful number, since it uses less digits than its factorization.

6801340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56677851 (or 56677847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6801340440 is about 82470.2397231874. The cubic root of 6801340440 is about 1894.6609520985.

The spelling of 6801340440 in words is "six billion, eight hundred one million, three hundred forty thousand, four hundred forty".