6801813000 has 384 divisors, whose sum is σ = 24898648320. Its totient is φ = 1733529600.

The previous prime is 6801812989. The next prime is 6801813017. The reversal of 6801813000 is 3181086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5588392 + ... + 5589608.

It is an arithmetic number, because the mean of its divisors is an integer number (64840230).

Almost surely, 2^6801813000 is an apocalyptic number.

6801813000 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 6801813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449324160).

6801813000 is an abundant number, since it is smaller than the sum of its proper divisors (18096835320).

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

6801813000 is a wasteful number, since it uses less digits than its factorization.

6801813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1250 counting only the distinct ones).

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

The square root of 6801813000 is about 82473.1047069285. The cubic root of 6801813000 is about 1894.7048316960.

Adding to 6801813000 its reverse (3181086), we get a palindrome (6804994086).

It can be divided in two parts, 68018 and 13000, that added together give a palindrome (81018).

The spelling of 6801813000 in words is "six billion, eight hundred one million, eight hundred thirteen thousand".