6771122304 has 256 divisors, whose sum is σ = 20146060800. Its totient is φ = 2004746240.

The previous prime is 6771122299. The next prime is 6771122341. The reversal of 6771122304 is 4032211776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8897284 + ... + 8898044.

It is an arithmetic number, because the mean of its divisors is an integer number (78695550).

Almost surely, 2^6771122304 is an apocalyptic number.

6771122304 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 6771122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073030400).

6771122304 is an abundant number, since it is smaller than the sum of its proper divisors (13374938496).

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

6771122304 is a wasteful number, since it uses less digits than its factorization.

6771122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 6771122304 is about 82286.8294686337. The cubic root of 6771122304 is about 1891.8508137147.

The spelling of 6771122304 in words is "six billion, seven hundred seventy-one million, one hundred twenty-two thousand, three hundred four".