6740236800 has 720 divisors, whose sum is σ = 27427432032. Its totient is φ = 1625702400.

The previous prime is 6740236793. The next prime is 6740236801. The reversal of 6740236800 is 86320476.

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 not an unprimeable number, because it can be changed into a prime (6740236801) 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, 34214302 + ... + 34214498.

Almost surely, 2^6740236800 is an apocalyptic number.

6740236800 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 6740236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713716016).

6740236800 is an abundant number, since it is smaller than the sum of its proper divisors (20687195232).

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

6740236800 is a wasteful number, since it uses less digits than its factorization.

6740236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6740236800 is about 82098.9451820180. The cubic root of 6740236800 is about 1888.9699602779.

The spelling of 6740236800 in words is "six billion, seven hundred forty million, two hundred thirty-six thousand, eight hundred".