6732853440 has 224 divisors, whose sum is σ = 22494240000. Its totient is φ = 1703718912.

The previous prime is 6732853429. The next prime is 6732853453. The reversal of 6732853440 is 443582376.

It is a junction number, because it is equal to n+sod(n) for n = 6732853392 and 6732853401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640511 + ... + 1644609.

Almost surely, 2^6732853440 is an apocalyptic number.

6732853440 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 6732853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247120000).

6732853440 is an abundant number, since it is smaller than the sum of its proper divisors (15761386560).

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

6732853440 is a wasteful number, since it uses less digits than its factorization.

6732853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 6732853440 is about 82053.9666317235. The cubic root of 6732853440 is about 1888.2799726049.

The spelling of 6732853440 in words is "six billion, seven hundred thirty-two million, eight hundred fifty-three thousand, four hundred forty".