8968449600 has 672 divisors, whose sum is σ = 36260714880. Its totient is φ = 2164838400.

The previous prime is 8968449583. The next prime is 8968449601. The reversal of 8968449600 is 69448698.

8968449600 is a `hidden beast` number, since 89 + 68 + 449 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8968449601) 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, 38491084 + ... + 38491316.

Almost surely, 2^8968449600 is an apocalyptic number.

8968449600 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 8968449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130357440).

8968449600 is an abundant number, since it is smaller than the sum of its proper divisors (27292265280).

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

8968449600 is a wasteful number, since it uses less digits than its factorization.

8968449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8968449600 is about 94701.8986082117. The cubic root of 8968449600 is about 2077.6503299316.

The spelling of 8968449600 in words is "eight billion, nine hundred sixty-eight million, four hundred forty-nine thousand, six hundred".