6807438180 has 384 divisors, whose sum is σ = 24385536000. Its totient is φ = 1565153280.

The previous prime is 6807438139. The next prime is 6807438193. The reversal of 6807438180 is 818347086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5406391 + ... + 5407649.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 2^6807438180 is an apocalyptic number.

6807438180 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 6807438180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768000).

6807438180 is an abundant number, since it is smaller than the sum of its proper divisors (17578097820).

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

6807438180 is a wasteful number, since it uses less digits than its factorization.

6807438180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6807438180 is about 82507.2007766595. The cubic root of 6807438180 is about 1895.2270022292.

The spelling of 6807438180 in words is "six billion, eight hundred seven million, four hundred thirty-eight thousand, one hundred eighty".