6781005000 has 960 divisors, whose sum is σ = 30410265600. Its totient is φ = 1321920000.

The previous prime is 6781004983. The next prime is 6781005017. The reversal of 6781005000 is 5001876.

It is an interprime number because it is at equal distance from previous prime (6781004983) and next prime (6781005017).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65834949 + ... + 65835051.

It is an arithmetic number, because the mean of its divisors is an integer number (31677360).

Almost surely, 2^6781005000 is an apocalyptic number.

6781005000 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 6781005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205132800).

6781005000 is an abundant number, since it is smaller than the sum of its proper divisors (23629260600).

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

6781005000 is a wasteful number, since it uses less digits than its factorization.

6781005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 6781005000 is about 82346.8578635518. The cubic root of 6781005000 is about 1892.7707743399.

Adding to 6781005000 its reverse (5001876), we get a palindrome (6786006876).

The spelling of 6781005000 in words is "six billion, seven hundred eighty-one million, five thousand".