8673601680 has 120 divisors (see below), whose sum is σ = 29199381120. Its totient is φ = 2307360000.

The previous prime is 8673601639. The next prime is 8673601709. The reversal of 8673601680 is 861063768.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×8673601680² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287305 + ... + 316055.

It is an arithmetic number, because the mean of its divisors is an integer number (243328176).

Almost surely, 2^8673601680 is an apocalyptic number.

8673601680 is a gapful number since it is divisible by the number (80) 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 8673601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599690560).

8673601680 is an abundant number, since it is smaller than the sum of its proper divisors (20525779440).

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

8673601680 is a wasteful number, since it uses less digits than its factorization.

8673601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29189 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8673601680 is about 93132.1731733991. The cubic root of 8673601680 is about 2054.6277905809.

The spelling of 8673601680 in words is "eight billion, six hundred seventy-three million, six hundred one thousand, six hundred eighty".