9280135680 has 320 divisors, whose sum is σ = 31310281728. Its totient is φ = 2340208640.

The previous prime is 9280135679. The next prime is 9280135699. The reversal of 9280135680 is 865310829.

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

It is a super-2 number, since 2×9280135680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18900235 + ... + 18900725.

Almost surely, 2^9280135680 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 9280135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655140864).

9280135680 is an abundant number, since it is smaller than the sum of its proper divisors (22030146048).

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

9280135680 is a wasteful number, since it uses less digits than its factorization.

9280135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 9280135680 is about 96333.4608534335. The cubic root of 9280135680 is about 2101.4453904243.

The spelling of 9280135680 in words is "nine billion, two hundred eighty million, one hundred thirty-five thousand, six hundred eighty".