6750240000 has 720 divisors, whose sum is σ = 26818915200. Its totient is φ = 1505280000.

The previous prime is 6750239999. The next prime is 6750240011. The reversal of 6750240000 is 420576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164639980 + ... + 164640020.

Almost surely, 2^6750240000 is an apocalyptic number.

6750240000 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 6750240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409457600).

6750240000 is an abundant number, since it is smaller than the sum of its proper divisors (20068675200).

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

6750240000 is an frugal number, since it uses more digits than its factorization.

6750240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 6750240000 is about 82159.8442062788. The cubic root of 6750240000 is about 1889.9039731733.

Adding to 6750240000 its reverse (420576), we get a palindrome (6750660576).

The spelling of 6750240000 in words is "six billion, seven hundred fifty million, two hundred forty thousand".