6744285600 has 576 divisors, whose sum is σ = 25758351360. Its totient is φ = 1517875200.

The previous prime is 6744285571. The next prime is 6744285601. The reversal of 6744285600 is 65824476.

It is not an unprimeable number, because it can be changed into a prime (6744285601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18376617 + ... + 18376983.

It is an arithmetic number, because the mean of its divisors is an integer number (44719360).

Almost surely, 2^6744285600 is an apocalyptic number.

6744285600 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 6744285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879175680).

6744285600 is an abundant number, since it is smaller than the sum of its proper divisors (19014065760).

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

6744285600 is a wasteful number, since it uses less digits than its factorization.

6744285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6744285600 is about 82123.5995314380. The cubic root of 6744285600 is about 1889.3481136939.

The spelling of 6744285600 in words is "six billion, seven hundred forty-four million, two hundred eighty-five thousand, six hundred".