6738670800 has 480 divisors, whose sum is σ = 25684070400. Its totient is φ = 1677957120.

The previous prime is 6738670759. The next prime is 6738670819. The reversal of 6738670800 is 80768376.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53060337 + ... + 53060463.

It is an arithmetic number, because the mean of its divisors is an integer number (53508480).

Almost surely, 2^6738670800 is an apocalyptic number.

6738670800 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 6738670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842035200).

6738670800 is an abundant number, since it is smaller than the sum of its proper divisors (18945399600).

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

6738670800 is a wasteful number, since it uses less digits than its factorization.

6738670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6738670800 is about 82089.4073556388. The cubic root of 6738670800 is about 1888.8236570065.

The spelling of 6738670800 in words is "six billion, seven hundred thirty-eight million, six hundred seventy thousand, eight hundred".