8673552000 has 768 divisors, whose sum is σ = 33758899200. Its totient is φ = 2128896000.

The previous prime is 8673551993. The next prime is 8673552001. The reversal of 8673552000 is 2553768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8673552001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129455967 + ... + 129456033.

It is an arithmetic number, because the mean of its divisors is an integer number (43956900).

Almost surely, 2^8673552000 is an apocalyptic number.

8673552000 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 8673552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879449600).

8673552000 is an abundant number, since it is smaller than the sum of its proper divisors (25085347200).

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

8673552000 is a wasteful number, since it uses less digits than its factorization.

8673552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 8673552000 is about 93131.9064553067. The cubic root of 8673552000 is about 2054.6238677928.

The spelling of 8673552000 in words is "eight billion, six hundred seventy-three million, five hundred fifty-two thousand".