6778122624 has 768 divisors, whose sum is σ = 26197516800. Its totient is φ = 1632337920.

The previous prime is 6778122619. The next prime is 6778122661. The reversal of 6778122624 is 4262218776.

It is a happy number.

6778122624 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 12 + 2 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (451584) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 6778122624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81664087 + ... + 81664169.

It is an arithmetic number, because the mean of its divisors is an integer number (34111350).

Almost surely, 2^6778122624 is an apocalyptic number.

6778122624 is a gapful number since it is divisible by the number (64) 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 6778122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098758400).

6778122624 is an abundant number, since it is smaller than the sum of its proper divisors (19419394176).

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

6778122624 is a wasteful number, since it uses less digits than its factorization.

6778122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 6778122624 is about 82329.3545705297. The cubic root of 6778122624 is about 1892.5025520413.

The spelling of 6778122624 in words is "six billion, seven hundred seventy-eight million, one hundred twenty-two thousand, six hundred twenty-four".