6781104000 has 512 divisors, whose sum is σ = 27266803200. Its totient is φ = 1642752000.

The previous prime is 6781103993. The next prime is 6781104013. The reversal of 6781104000 is 4011876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751287 + ... + 4752713.

It is an arithmetic number, because the mean of its divisors is an integer number (53255475).

Almost surely, 2^6781104000 is an apocalyptic number.

6781104000 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 6781104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633401600).

6781104000 is an abundant number, since it is smaller than the sum of its proper divisors (20485699200).

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

6781104000 is a wasteful number, since it uses less digits than its factorization.

6781104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 6781104000 is about 82347.4589771901. The cubic root of 6781104000 is about 1892.7799855308.

Adding to 6781104000 its reverse (4011876), we get a palindrome (6785115876).

The spelling of 6781104000 in words is "six billion, seven hundred eighty-one million, one hundred four thousand".