6820800207540 has 96 divisors (see below), whose sum is σ = 22059999851904. Its totient is φ = 1556261007360.

The previous prime is 6820800207539. The next prime is 6820800207581. The reversal of 6820800207540 is 457020080286.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6820800207492 and 6820800207501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303946009 + ... + 303968448.

It is an arithmetic number, because the mean of its divisors is an integer number (229791665124).

Almost surely, 2^{6820800207540} is an apocalyptic number.

6820800207540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6820800207540 is an abundant number, since it is smaller than the sum of its proper divisors (15239199644364).

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

6820800207540 is a wasteful number, since it uses less digits than its factorization.

6820800207540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607914497 (or 607914495 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 6820800207540 in words is "six trillion, eight hundred twenty billion, eight hundred million, two hundred seven thousand, five hundred forty".