9967725427 has 16 divisors (see below), whose sum is σ = 10965411072. Its totient is φ = 8985604320.

The previous prime is 9967725409. The next prime is 9967725457. The reversal of 9967725427 is 7245277699.

It is not a de Polignac number, because 9967725427 - 2¹⁵ = 9967692659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9967725457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657778 + ... + 672760.

It is an arithmetic number, because the mean of its divisors is an integer number (685338192).

Almost surely, 2^9967725427 is an apocalyptic number.

9967725427 is a deficient number, since it is larger than the sum of its proper divisors (997685645).

9967725427 is a wasteful number, since it uses less digits than its factorization.

9967725427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15498.

The product of its digits is 13335840, while the sum is 58.

The square root of 9967725427 is about 99838.4967184502. The cubic root of 9967725427 is about 2152.1144100479.

The spelling of 9967725427 in words is "nine billion, nine hundred sixty-seven million, seven hundred twenty-five thousand, four hundred twenty-seven".