7929724401 has 9 divisors (see below), whose sum is σ = 11454432249. Its totient is φ = 5286304836.

The previous prime is 7929724393. The next prime is 7929724441. The reversal of 7929724401 is 1044279297.

It is a happy number.

The square root of 7929724401 is 89049.

It is a perfect power (a square), and thus also a powerful number.

7929724401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7929724401 - 2³ = 7929724393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7929724441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252306 + ... + 281988.

Almost surely, 2^7929724401 is an apocalyptic number.

7929724401 is the 89049-th square number.

7929724401 is the 44525-th centered octagonal number.

It is an amenable number.

7929724401 is a deficient number, since it is larger than the sum of its proper divisors (3524707848).

7929724401 is an frugal number, since it uses more digits than its factorization.

7929724401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59372 (or 29686 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 7929724401 is about 1994.1264677786.

The spelling of 7929724401 in words is "seven billion, nine hundred twenty-nine million, seven hundred twenty-four thousand, four hundred one".