9407679372 has 288 divisors, whose sum is σ = 30028078080. Its totient is φ = 2417610240.

The previous prime is 9407679343. The next prime is 9407679383. The reversal of 9407679372 is 2739767049.

9407679372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35770513 + ... + 35770775.

It is an arithmetic number, because the mean of its divisors is an integer number (104264160).

Almost surely, 2^9407679372 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 9407679372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

9407679372 is an abundant number, since it is smaller than the sum of its proper divisors (20620398708).

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

9407679372 is a wasteful number, since it uses less digits than its factorization.

9407679372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 9407679372 is about 96993.1924002917. The cubic root of 9407679372 is about 2111.0288530777.

The spelling of 9407679372 in words is "nine billion, four hundred seven million, six hundred seventy-nine thousand, three hundred seventy-two".