6842760000 has 280 divisors, whose sum is σ = 22852684800. Its totient is φ = 1806336000.

The previous prime is 6842759993. The next prime is 6842760013. The reversal of 6842760000 is 672486.

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 39 ways as a sum of consecutive naturals, for example, 15239776 + ... + 15240224.

Almost surely, 2^6842760000 is an apocalyptic number.

6842760000 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 6842760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426342400).

6842760000 is an abundant number, since it is smaller than the sum of its proper divisors (16009924800).

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

6842760000 is a wasteful number, since it uses less digits than its factorization.

6842760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6842760000 is about 82720.9767834012. The cubic root of 6842760000 is about 1898.4992766397.

The spelling of 6842760000 in words is "six billion, eight hundred forty-two million, seven hundred sixty thousand".