8625489600 has 1008 divisors, whose sum is σ = 36888115200. Its totient is φ = 1761177600.

The previous prime is 8625489577. The next prime is 8625489619. The reversal of 8625489600 is 69845268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8625489600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278241585 + ... + 278241615.

Almost surely, 2^8625489600 is an apocalyptic number.

8625489600 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 8625489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444057600).

8625489600 is an abundant number, since it is smaller than the sum of its proper divisors (28262625600).

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

8625489600 is a wasteful number, since it uses less digits than its factorization.

8625489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8625489600 is about 92873.5139854200. The cubic root of 8625489600 is about 2050.8217684972.

The spelling of 8625489600 in words is "eight billion, six hundred twenty-five million, four hundred eighty-nine thousand, six hundred".