6813116000 has 96 divisors (see below), whose sum is σ = 16778754720. Its totient is φ = 2718912000.

The previous prime is 6813115949. The next prime is 6813116021. The reversal of 6813116000 is 6113186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962266 + ... + 1965734.

It is an arithmetic number, because the mean of its divisors is an integer number (174778695).

Almost surely, 2^6813116000 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 6813116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389377360).

6813116000 is an abundant number, since it is smaller than the sum of its proper divisors (9965638720).

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

6813116000 is a wasteful number, since it uses less digits than its factorization.

6813116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 6813116000 is about 82541.6016321467. The cubic root of 6813116000 is about 1895.7537675687.

Adding to 6813116000 its reverse (6113186), we get a palindrome (6819229186).

The spelling of 6813116000 in words is "six billion, eight hundred thirteen million, one hundred sixteen thousand".