9429319680 has 320 divisors, whose sum is σ = 33218856000. Its totient is φ = 2264924160.

The previous prime is 9429319667. The next prime is 9429319741. The reversal of 9429319680 is 869139249.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86507466 + ... + 86507574.

It is an arithmetic number, because the mean of its divisors is an integer number (103808925).

Almost surely, 2^9429319680 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 9429319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609428000).

9429319680 is an abundant number, since it is smaller than the sum of its proper divisors (23789536320).

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

9429319680 is an equidigital number, since it uses as much as digits as its factorization.

9429319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 9429319680 is about 97104.6841300666. The cubic root of 9429319680 is about 2112.6462668702.

The spelling of 9429319680 in words is "nine billion, four hundred twenty-nine million, three hundred nineteen thousand, six hundred eighty".