6740734800 has 120 divisors (see below), whose sum is σ = 21611429280. Its totient is φ = 1795980800.

The previous prime is 6740734769. The next prime is 6740734807. The reversal of 6740734800 is 84370476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740734807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2315746 + ... + 2318654.

It is an arithmetic number, because the mean of its divisors is an integer number (180095244).

Almost surely, 2^6740734800 is an apocalyptic number.

6740734800 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 6740734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805714640).

6740734800 is an abundant number, since it is smaller than the sum of its proper divisors (14870694480).

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

6740734800 is a wasteful number, since it uses less digits than its factorization.

6740734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 6740734800 is about 82101.9780516889. The cubic root of 6740734800 is about 1889.0164810902.

The spelling of 6740734800 in words is "six billion, seven hundred forty million, seven hundred thirty-four thousand, eight hundred".