9672107424 has 96 divisors (see below), whose sum is σ = 29164012416. Its totient is φ = 2749393920.

The previous prime is 9672107413. The next prime is 9672107443. The reversal of 9672107424 is 4247012769.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95854 + ... + 168914.

It is an arithmetic number, because the mean of its divisors is an integer number (303791796).

Almost surely, 2^9672107424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9672107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582006208).

9672107424 is an abundant number, since it is smaller than the sum of its proper divisors (19491904992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9672107424 is a wasteful number, since it uses less digits than its factorization.

9672107424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73278 (or 73270 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 9672107424 is about 98346.8729751994. The cubic root of 9672107424 is about 2130.6250910633.

The spelling of 9672107424 in words is "nine billion, six hundred seventy-two million, one hundred seven thousand, four hundred twenty-four".