6682072320 has 1152 divisors, whose sum is σ = 30893506560. Its totient is φ = 1343692800.

The previous prime is 6682072307. The next prime is 6682072321. The reversal of 6682072320 is 232702866.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6682072321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215550705 + ... + 215550735.

It is an arithmetic number, because the mean of its divisors is an integer number (26817280).

Almost surely, 2^6682072320 is an apocalyptic number.

6682072320 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 6682072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446753280).

6682072320 is an abundant number, since it is smaller than the sum of its proper divisors (24211434240).

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

6682072320 is an equidigital number, since it uses as much as digits as its factorization.

6682072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6682072320 is about 81743.9436288708. The cubic root of 6682072320 is about 1883.5206699770.

The spelling of 6682072320 in words is "six billion, six hundred eighty-two million, seventy-two thousand, three hundred twenty".