6819807060 has 144 divisors (see below), whose sum is σ = 22593392640. Its totient is φ = 1651380480.

The previous prime is 6819807031. The next prime is 6819807077. The reversal of 6819807060 is 607089186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6819806997 and 6819807015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531074 + ... + 2533766.

It is an arithmetic number, because the mean of its divisors is an integer number (156898560).

Almost surely, 2^6819807060 is an apocalyptic number.

6819807060 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 6819807060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296696320).

6819807060 is an abundant number, since it is smaller than the sum of its proper divisors (15773585580).

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

6819807060 is a wasteful number, since it uses less digits than its factorization.

6819807060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6819807060 is about 82582.1231260132. The cubic root of 6819807060 is about 1896.3741617229.

The spelling of 6819807060 in words is "six billion, eight hundred nineteen million, eight hundred seven thousand, sixty".