6813285175368 has 1024 divisors, whose sum is σ = 23923123200000. Its totient is φ = 1789166776320.

The previous prime is 6813285175327. The next prime is 6813285175373. The reversal of 6813285175368 is 8635715823186.

6813285175368 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 2 + 8 + 517 + 53 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58060800) is a multiple of the sum of its prime factors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20583942963 + ... + 20583943293.

It is an arithmetic number, because the mean of its divisors is an integer number (23362425000).

Almost surely, 2^{6813285175368} is an apocalyptic number.

6813285175368 is a gapful number since it is divisible by the number (68) 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 6813285175368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961561600000).

6813285175368 is an abundant number, since it is smaller than the sum of its proper divisors (17109838024632).

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

6813285175368 is a wasteful number, since it uses less digits than its factorization.

6813285175368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 696 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 6813285175368 in words is "six trillion, eight hundred thirteen billion, two hundred eighty-five million, one hundred seventy-five thousand, three hundred sixty-eight".