6820405740 has 240 divisors, whose sum is σ = 22483093248. Its totient is φ = 1727485056.

The previous prime is 6820405733. The next prime is 6820405771. The reversal of 6820405740 is 475040286.

6820405740 is a `hidden beast` number, since 6 + 82 + 0 + 4 + 0 + 574 + 0 = 666.

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 = 6820405695 and 6820405704.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6072819 + ... + 6073941.

Almost surely, 2^6820405740 is an apocalyptic number.

6820405740 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 6820405740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241546624).

6820405740 is an abundant number, since it is smaller than the sum of its proper divisors (15662687508).

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

6820405740 is a wasteful number, since it uses less digits than its factorization.

6820405740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6820405740 is about 82585.7478019059. The cubic root of 6820405740 is about 1896.4296514679.

The spelling of 6820405740 in words is "six billion, eight hundred twenty million, four hundred five thousand, seven hundred forty".