8649273600 has 972 divisors, whose sum is σ = 36482266548. Its totient is φ = 1946419200.

The previous prime is 8649273557. The next prime is 8649273641. The reversal of 8649273600 is 63729468.

It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 8635613184 = 3696^2 + 92928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 118483164 + ... + 118483236.

Almost surely, 2^8649273600 is an apocalyptic number.

8649273600 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 8649273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241133274).

8649273600 is an abundant number, since it is smaller than the sum of its proper divisors (27832992948).

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

8649273600 is a wasteful number, since it uses less digits than its factorization.

8649273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8649273600 is about 93001.4709561091. The cubic root of 8649273600 is about 2052.7050231792.

The spelling of 8649273600 in words is "eight billion, six hundred forty-nine million, two hundred seventy-three thousand, six hundred".