6477272721 has 24 divisors (see below), whose sum is σ = 9439934400. Its totient is φ = 4279602336.

The previous prime is 6477272677. The next prime is 6477272741. The reversal of 6477272721 is 1272727746.

6477272721 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6477272721 - 2¹¹ = 6477270673 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6477272741) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 621076 + ... + 631418.

It is an arithmetic number, because the mean of its divisors is an integer number (393330600).

Almost surely, 2^6477272721 is an apocalyptic number.

It is an amenable number.

6477272721 is a deficient number, since it is larger than the sum of its proper divisors (2962661679).

6477272721 is a wasteful number, since it uses less digits than its factorization.

6477272721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10962 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 6477272721 is about 80481.5054593290. The cubic root of 6477272721 is about 1864.0779147107.

The spelling of 6477272721 in words is "six billion, four hundred seventy-seven million, two hundred seventy-two thousand, seven hundred twenty-one".