8967316800 has 336 divisors, whose sum is σ = 31954329792. Its totient is φ = 2188492800.

The previous prime is 8967316789. The next prime is 8967316801. The reversal of 8967316800 is 86137698.

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 8967316800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8967316801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8173852 + ... + 8174948.

It is an arithmetic number, because the mean of its divisors is an integer number (95102172).

Almost surely, 2^8967316800 is an apocalyptic number.

8967316800 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 8967316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977164896).

8967316800 is an abundant number, since it is smaller than the sum of its proper divisors (22987012992).

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

8967316800 is a wasteful number, since it uses less digits than its factorization.

8967316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 8967316800 is about 94695.9175466398. The cubic root of 8967316800 is about 2077.5628506199.

The spelling of 8967316800 in words is "eight billion, nine hundred sixty-seven million, three hundred sixteen thousand, eight hundred".