9129415680 has 1056 divisors, whose sum is σ = 41201491968. Its totient is φ = 1813708800.

The previous prime is 9129415661. The next prime is 9129415693. The reversal of 9129415680 is 865149219.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 109992919 + ... + 109993001.

Almost surely, 2^9129415680 is an apocalyptic number.

9129415680 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 9129415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600745984).

9129415680 is an abundant number, since it is smaller than the sum of its proper divisors (32072076288).

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

9129415680 is a wasteful number, since it uses less digits than its factorization.

9129415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9129415680 is about 95547.9758027348. The cubic root of 9129415680 is about 2090.0066146017.

The spelling of 9129415680 in words is "nine billion, one hundred twenty-nine million, four hundred fifteen thousand, six hundred eighty".