7729744648479 has 64 divisors (see below), whose sum is σ = 12132994351104. Its totient is φ = 4285508363136.

The previous prime is 7729744648469. The next prime is 7729744648501. The reversal of 7729744648479 is 9748464479277.

It is not a de Polignac number, because 7729744648479 - 2⁹ = 7729744647967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7729744648469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658236882 + ... + 658248624.

It is an arithmetic number, because the mean of its divisors is an integer number (189578036736).

Almost surely, 2^{7729744648479} is an apocalyptic number.

7729744648479 is a deficient number, since it is larger than the sum of its proper divisors (4403249702625).

7729744648479 is a wasteful number, since it uses less digits than its factorization.

7729744648479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596.

The product of its digits is 4779565056, while the sum is 78.

The spelling of 7729744648479 in words is "seven trillion, seven hundred twenty-nine billion, seven hundred forty-four million, six hundred forty-eight thousand, four hundred seventy-nine".