6778871680 has 384 divisors, whose sum is σ = 20539699200. Its totient is φ = 2125025280.

The previous prime is 6778871677. The next prime is 6778871731. The reversal of 6778871680 is 861788776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18470857 + ... + 18471223.

It is an arithmetic number, because the mean of its divisors is an integer number (53488800).

Almost surely, 2^6778871680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6778871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269849600).

6778871680 is an abundant number, since it is smaller than the sum of its proper divisors (13760827520).

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

6778871680 is a wasteful number, since it uses less digits than its factorization.

6778871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 58.

The square root of 6778871680 is about 82333.9035877688. The cubic root of 6778871680 is about 1892.5722634866.

The spelling of 6778871680 in words is "six billion, seven hundred seventy-eight million, eight hundred seventy-one thousand, six hundred eighty".