6802641000 has 384 divisors, whose sum is σ = 24443078400. Its totient is φ = 1702694400.

The previous prime is 6802640989. The next prime is 6802641029. The reversal of 6802641000 is 1462086.

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 95 ways as a sum of consecutive naturals, for example, 12212722 + ... + 12213278.

It is an arithmetic number, because the mean of its divisors is an integer number (63653850).

Almost surely, 2^6802641000 is an apocalyptic number.

6802641000 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 6802641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221539200).

6802641000 is an abundant number, since it is smaller than the sum of its proper divisors (17640437400).

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

6802641000 is a wasteful number, since it uses less digits than its factorization.

6802641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6802641000 is about 82478.1243724662. The cubic root of 6802641000 is about 1894.7817108039.

The spelling of 6802641000 in words is "six billion, eight hundred two million, six hundred forty-one thousand".