6801945540 has 192 divisors, whose sum is σ = 21152947200. Its totient is φ = 1622509056.

The previous prime is 6801945539. The next prime is 6801945541. The reversal of 6801945540 is 455491086.

It is an interprime number because it is at equal distance from previous prime (6801945539) and next prime (6801945541).

It is a junction number, because it is equal to n+sod(n) for n = 6801945492 and 6801945501.

It is not an unprimeable number, because it can be changed into a prime (6801945541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4661331 + ... + 4662789.

It is an arithmetic number, because the mean of its divisors is an integer number (110171600).

Almost surely, 2^6801945540 is an apocalyptic number.

6801945540 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 6801945540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10576473600).

6801945540 is an abundant number, since it is smaller than the sum of its proper divisors (14351001660).

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

6801945540 is a wasteful number, since it uses less digits than its factorization.

6801945540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 6801945540 is about 82473.9082376966. The cubic root of 6801945540 is about 1894.7171383437.

The spelling of 6801945540 in words is "six billion, eight hundred one million, nine hundred forty-five thousand, five hundred forty".