6744012800 has 288 divisors, whose sum is σ = 19758735360. Its totient is φ = 2233958400.

The previous prime is 6744012767. The next prime is 6744012811. The reversal of 6744012800 is 82104476.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11110097 + ... + 11110703.

It is an arithmetic number, because the mean of its divisors is an integer number (68606720).

Almost surely, 2^6744012800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6744012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879367680).

6744012800 is an abundant number, since it is smaller than the sum of its proper divisors (13014722560).

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

6744012800 is a wasteful number, since it uses less digits than its factorization.

6744012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 6744012800 is about 82121.9386035181. The cubic root of 6744012800 is about 1889.3226392332.

The spelling of 6744012800 in words is "six billion, seven hundred forty-four million, twelve thousand, eight hundred".