8673507360 has 576 divisors, whose sum is σ = 35822352384. Its totient is φ = 1869004800.

The previous prime is 8673507343. The next prime is 8673507361. The reversal of 8673507360 is 637053768.

8673507360 is a `hidden beast` number, since 86 + 7 + 3 + 507 + 3 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8673507361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12811342 + ... + 12812018.

It is an arithmetic number, because the mean of its divisors is an integer number (62191584).

Almost surely, 2^8673507360 is an apocalyptic number.

8673507360 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 8673507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911176192).

8673507360 is an abundant number, since it is smaller than the sum of its proper divisors (27148845024).

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

8673507360 is a wasteful number, since it uses less digits than its factorization.

8673507360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 8673507360 is about 93131.6667949200. Note that the first 3 decimals coincide. The cubic root of 8673507360 is about 2054.6203429560.

The spelling of 8673507360 in words is "eight billion, six hundred seventy-three million, five hundred seven thousand, three hundred sixty".