8616672000 has 288 divisors, whose sum is σ = 31803495360. Its totient is φ = 2297548800.

The previous prime is 8616671993. The next prime is 8616672011. The reversal of 8616672000 is 2766168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 859014 + ... + 868986.

Almost surely, 2^8616672000 is an apocalyptic number.

8616672000 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 8616672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901747680).

8616672000 is an abundant number, since it is smaller than the sum of its proper divisors (23186823360).

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

8616672000 is an equidigital number, since it uses as much as digits as its factorization.

8616672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8616672000 is about 92826.0308318739. The cubic root of 8616672000 is about 2050.1226973954.

The spelling of 8616672000 in words is "eight billion, six hundred sixteen million, six hundred seventy-two thousand".