727949949727 has 72 divisors (see below), whose sum is σ = 1003232908608. Its totient is φ = 523153572480.

The previous prime is 727949949697. The next prime is 727949949767.

727949949727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 727949949727 - 2¹⁵ = 727949916959 is a prime.

It is a super-2 number, since 2×727949949727² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727949949767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109677253 + ... + 109683889.

Almost surely, 2^727949949727 is an apocalyptic number.

727949949727 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

727949949727 is a deficient number, since it is larger than the sum of its proper divisors (275282958881).

727949949727 is a wasteful number, since it uses less digits than its factorization.

727949949727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8091 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 76.

The spelling of 727949949727 in words is "seven hundred twenty-seven billion, nine hundred forty-nine million, nine hundred forty-nine thousand, seven hundred twenty-seven".