7727713056 has 288 divisors, whose sum is σ = 26205379200. Its totient is φ = 2113413120.

The previous prime is 7727713039. The next prime is 7727713057. The reversal of 7727713056 is 6503177277.

7727713056 is a `hidden beast` number, since 77 + 277 + 1 + 305 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7727713057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7658280 + ... + 7659288.

It is an arithmetic number, because the mean of its divisors is an integer number (90990900).

Almost surely, 2^7727713056 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 7727713056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102689600).

7727713056 is an abundant number, since it is smaller than the sum of its proper divisors (18477666144).

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

7727713056 is a wasteful number, since it uses less digits than its factorization.

7727713056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 7727713056 is about 87907.4118376829. The cubic root of 7727713056 is about 1977.0470091513.

The spelling of 7727713056 in words is "seven billion, seven hundred twenty-seven million, seven hundred thirteen thousand, fifty-six".