6719082000 has 320 divisors, whose sum is σ = 22813539840. Its totient is φ = 1698048000.

The previous prime is 6719081981. The next prime is 6719082017. The reversal of 6719082000 is 2809176.

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 63 ways as a sum of consecutive naturals, for example, 24977866 + ... + 24978134.

It is an arithmetic number, because the mean of its divisors is an integer number (71292312).

Almost surely, 2^6719082000 is an apocalyptic number.

6719082000 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 6719082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406769920).

6719082000 is an abundant number, since it is smaller than the sum of its proper divisors (16094457840).

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

6719082000 is a wasteful number, since it uses less digits than its factorization.

6719082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6719082000 is about 81970.0067097716. The cubic root of 6719082000 is about 1886.9916587874.

The spelling of 6719082000 in words is "six billion, seven hundred nineteen million, eighty-two thousand".