6778287360 has 720 divisors, whose sum is σ = 26924679936. Its totient is φ = 1617739776.

The previous prime is 6778287353. The next prime is 6778287367. The reversal of 6778287360 is 637828776.

It is an interprime number because it is at equal distance from previous prime (6778287353) and next prime (6778287367).

It is a tau number, because it is divible by the number of its divisors (720).

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 = 6778287297 and 6778287306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778287367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63348427 + ... + 63348533.

Almost surely, 2^6778287360 is an apocalyptic number.

6778287360 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 6778287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462339968).

6778287360 is an abundant number, since it is smaller than the sum of its proper divisors (20146392576).

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

6778287360 is a wasteful number, since it uses less digits than its factorization.

6778287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 6778287360 is about 82330.3550338513. The cubic root of 6778287360 is about 1892.5178837583.

The spelling of 6778287360 in words is "six billion, seven hundred seventy-eight million, two hundred eighty-seven thousand, three hundred sixty".