6277728096 has 168 divisors, whose sum is σ = 18602947440. Its totient is φ = 2084403456.

The previous prime is 6277728059. The next prime is 6277728113. The reversal of 6277728096 is 6908277726.

6277728096 is a `hidden beast` number, since 6 + 277 + 7 + 280 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10240686 + ... + 10241298.

It is an arithmetic number, because the mean of its divisors is an integer number (110731830).

Almost surely, 2^6277728096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6277728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301473720).

6277728096 is an abundant number, since it is smaller than the sum of its proper divisors (12325219344).

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

6277728096 is an equidigital number, since it uses as much as digits as its factorization.

6277728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6277728096 is about 79232.1153068628. The cubic root of 6277728096 is about 1844.7357622771.

The spelling of 6277728096 in words is "six billion, two hundred seventy-seven million, seven hundred twenty-eight thousand, ninety-six".