6771340800 has 720 divisors, whose sum is σ = 28812655872. Its totient is φ = 1542758400.

The previous prime is 6771340799. The next prime is 6771340801. The reversal of 6771340800 is 80431776.

It is an interprime number because it is at equal distance from previous prime (6771340799) and next prime (6771340801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6771340801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772645 + ... + 21772955.

Almost surely, 2^6771340800 is an apocalyptic number.

6771340800 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 6771340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406327936).

6771340800 is an abundant number, since it is smaller than the sum of its proper divisors (22041315072).

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

6771340800 is an equidigital number, since it uses as much as digits as its factorization.

6771340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6771340800 is about 82288.1571065971. The cubic root of 6771340800 is about 1891.8711627484.

The spelling of 6771340800 in words is "six billion, seven hundred seventy-one million, three hundred forty thousand, eight hundred".