6778438560 has 384 divisors, whose sum is σ = 26218805760. Its totient is φ = 1626882048.

The previous prime is 6778438547. The next prime is 6778438571. The reversal of 6778438560 is 658348776.

6778438560 is a `hidden beast` number, since 6 + 7 + 78 + 4 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6778438497 and 6778438506.

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, 1687114 + ... + 1691126.

It is an arithmetic number, because the mean of its divisors is an integer number (68278140).

Almost surely, 2^6778438560 is an apocalyptic number.

6778438560 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 6778438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109402880).

6778438560 is an abundant number, since it is smaller than the sum of its proper divisors (19440367200).

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

6778438560 is a wasteful number, since it uses less digits than its factorization.

6778438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 6778438560 is about 82331.2732805706. The cubic root of 6778438560 is about 1892.5319554828.

The spelling of 6778438560 in words is "six billion, seven hundred seventy-eight million, four hundred thirty-eight thousand, five hundred sixty".