9868867200 has 384 divisors, whose sum is σ = 38247552000. Its totient is φ = 2476523520.

The previous prime is 9868867193. The next prime is 9868867201. The reversal of 9868867200 is 27688689.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9868867200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9868867201) 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, 1465441 + ... + 1472159.

It is an arithmetic number, because the mean of its divisors is an integer number (99603000).

Almost surely, 2^9868867200 is an apocalyptic number.

9868867200 is a gapful number since it is divisible by the number (90) 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 9868867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

9868867200 is an abundant number, since it is smaller than the sum of its proper divisors (28378684800).

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

9868867200 is a wasteful number, since it uses less digits than its factorization.

9868867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 9868867200 is about 99342.1723136755. The cubic root of 9868867200 is about 2144.9759887771.

The spelling of 9868867200 in words is "nine billion, eight hundred sixty-eight million, eight hundred sixty-seven thousand, two hundred".