6812982000 has 480 divisors, whose sum is σ = 27340035840. Its totient is φ = 1563840000.

The previous prime is 6812981971. The next prime is 6812982017. The reversal of 6812982000 is 2892186.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3761095 + ... + 3762905.

It is an arithmetic number, because the mean of its divisors is an integer number (56958408).

Almost surely, 2^6812982000 is an apocalyptic number.

6812982000 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 6812982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670017920).

6812982000 is an abundant number, since it is smaller than the sum of its proper divisors (20527053840).

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

6812982000 is a wasteful number, since it uses less digits than its factorization.

6812982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6812982000 is about 82540.7899162590. The cubic root of 6812982000 is about 1895.7413389595.

The spelling of 6812982000 in words is "six billion, eight hundred twelve million, nine hundred eighty-two thousand".