6813180000 has 960 divisors, whose sum is σ = 28718807040. Its totient is φ = 1555200000.

The previous prime is 6813179977. The next prime is 6813180029. The reversal of 6813180000 is 813186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184139982 + ... + 184140018.

It is an arithmetic number, because the mean of its divisors is an integer number (29915424).

Almost surely, 2^6813180000 is an apocalyptic number.

6813180000 is a gapful number since it is divisible by the number (60) 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 6813180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359403520).

6813180000 is an abundant number, since it is smaller than the sum of its proper divisors (21905627040).

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

6813180000 is a wasteful number, since it uses less digits than its factorization.

6813180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6813180000 is about 82541.9893145301. The cubic root of 6813180000 is about 1895.7597035634.

Adding to 6813180000 its reverse (813186), we get a palindrome (6813993186).

The spelling of 6813180000 in words is "six billion, eight hundred thirteen million, one hundred eighty thousand".