6778704240 has 640 divisors, whose sum is σ = 29698099200. Its totient is φ = 1380188160.

The previous prime is 6778704221. The next prime is 6778704263. The reversal of 6778704240 is 424078776.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8814576 + ... + 8815344.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 2^6778704240 is an apocalyptic number.

6778704240 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 6778704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

6778704240 is an abundant number, since it is smaller than the sum of its proper divisors (22919394960).

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

6778704240 is a wasteful number, since it uses less digits than its factorization.

6778704240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 6778704240 is about 82332.8867464272. The cubic root of 6778704240 is about 1892.5566810061.

The spelling of 6778704240 in words is "six billion, seven hundred seventy-eight million, seven hundred four thousand, two hundred forty".