9017671680 has 420 divisors, whose sum is σ = 32662669872. Its totient is φ = 2388787200.

The previous prime is 9017671669. The next prime is 9017671727. The reversal of 9017671680 is 861767109.

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

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, 59719605 + ... + 59719755.

Almost surely, 2^9017671680 is an apocalyptic number.

9017671680 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 9017671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331334936).

9017671680 is an abundant number, since it is smaller than the sum of its proper divisors (23644998192).

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

9017671680 is an frugal number, since it uses more digits than its factorization.

9017671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9017671680 is about 94961.4220618036. The cubic root of 9017671680 is about 2081.4443616879. Note that the first 3 decimals are identical.

The spelling of 9017671680 in words is "nine billion, seventeen million, six hundred seventy-one thousand, six hundred eighty".