6813508574208 has 1584 divisors, whose sum is σ = 23951043699840. Its totient is φ = 1710610513920.

The previous prime is 6813508574149. The next prime is 6813508574209. The reversal of 6813508574208 is 8024758053186.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813508574209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101694157791 + ... + 101694157857.

Almost surely, 2^{6813508574208} 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 6813508574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975521849920).

6813508574208 is an abundant number, since it is smaller than the sum of its proper divisors (17137535125632).

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

6813508574208 is a wasteful number, since it uses less digits than its factorization.

6813508574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 6813508574208 in words is "six trillion, eight hundred thirteen billion, five hundred eight million, five hundred seventy-four thousand, two hundred eight".