6732288000 has 416 divisors, whose sum is σ = 24942577920. Its totient is φ = 1791590400.

The previous prime is 6732287987. The next prime is 6732288019. The reversal of 6732288000 is 8822376.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823757 + ... + 13824243.

It is an arithmetic number, because the mean of its divisors is an integer number (59958120).

Almost surely, 2^6732288000 is an apocalyptic number.

6732288000 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 6732288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471288960).

6732288000 is an abundant number, since it is smaller than the sum of its proper divisors (18210289920).

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

6732288000 is an equidigital number, since it uses as much as digits as its factorization.

6732288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 497 counting only the distinct ones).

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

The square root of 6732288000 is about 82050.5210221117. The cubic root of 6732288000 is about 1888.2271104751.

The spelling of 6732288000 in words is "six billion, seven hundred thirty-two million, two hundred eighty-eight thousand".