9129646080 has 336 divisors, whose sum is σ = 32870532240. Its totient is φ = 2432581632.

The previous prime is 9129646039. The next prime is 9129646117. The reversal of 9129646080 is 806469219.

It is a happy number.

9129646080 is a `hidden beast` number, since 91 + 29 + 6 + 460 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464349 + ... + 7465571.

It is an arithmetic number, because the mean of its divisors is an integer number (97828965).

Almost surely, 2^9129646080 is an apocalyptic number.

9129646080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9129646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435266120).

9129646080 is an abundant number, since it is smaller than the sum of its proper divisors (23740886160).

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

9129646080 is an equidigital number, since it uses as much as digits as its factorization.

9129646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9129646080 is about 95549.1814721612. The cubic root of 9129646080 is about 2090.0241963576.

The spelling of 9129646080 in words is "nine billion, one hundred twenty-nine million, six hundred forty-six thousand, eighty".