6813540885996 has 240 divisors, whose sum is σ = 19859512780800. Its totient is φ = 2022552903168.

The previous prime is 6813540885959. The next prime is 6813540885997. The reversal of 6813540885996 is 6995880453186.

6813540885996 is a `hidden beast` number, since 6 + 8 + 135 + 408 + 85 + 9 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6813540885997) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 156205486 + ... + 156249098.

It is an arithmetic number, because the mean of its divisors is an integer number (82747969920).

Almost surely, 2^{6813540885996} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813540885996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9929756390400).

6813540885996 is an abundant number, since it is smaller than the sum of its proper divisors (13045971894804).

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

6813540885996 is a wasteful number, since it uses less digits than its factorization.

6813540885996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44950 (or 44939 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 6813540885996 in words is "six trillion, eight hundred thirteen billion, five hundred forty million, eight hundred eighty-five thousand, nine hundred ninety-six".