6732280800 has 432 divisors, whose sum is σ = 27298252800. Its totient is φ = 1529349120.

The previous prime is 6732280783. The next prime is 6732280813. The reversal of 6732280800 is 80822376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11238901 + ... + 11239499.

It is an arithmetic number, because the mean of its divisors is an integer number (63190400).

Almost surely, 2^6732280800 is an apocalyptic number.

6732280800 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 6732280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649126400).

6732280800 is an abundant number, since it is smaller than the sum of its proper divisors (20565972000).

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

6732280800 is a wasteful number, since it uses less digits than its factorization.

6732280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6732280800 is about 82050.4771466931. The cubic root of 6732280800 is about 1888.2264373389.

The spelling of 6732280800 in words is "six billion, seven hundred thirty-two million, two hundred eighty thousand, eight hundred".