6724800 has 126 divisors (see below), whose sum is σ = 23952708. Its totient is φ = 1789440.

The previous prime is 6724793. The next prime is 6724801. The reversal of 6724800 is 84276.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6724801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14167 + ... + 14633.

Almost surely, 2^6724800 is an apocalyptic number.

6724800 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 6724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976354).

6724800 is an abundant number, since it is smaller than the sum of its proper divisors (17227908).

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

6724800 is a wasteful number, since it uses less digits than its factorization.

6724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6724800 is about 2593.2219341969. The cubic root of 6724800 is about 188.7526789380.

The spelling of 6724800 in words is "six million, seven hundred twenty-four thousand, eight hundred".