867394483200 has 1056 divisors, whose sum is σ = 3758441349120. Its totient is φ = 191832883200.

The previous prime is 867394483127. The next prime is 867394483201. The reversal of 867394483200 is 2384493768.

867394483200 is a `hidden beast` number, since 8 + 6 + 7 + 394 + 48 + 3 + 200 = 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 (867394483201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149987509 + ... + 149993291.

Almost surely, 2^867394483200 is an apocalyptic number.

867394483200 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 867394483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879220674560).

867394483200 is an abundant number, since it is smaller than the sum of its proper divisors (2891046865920).

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

867394483200 is a wasteful number, since it uses less digits than its factorization.

867394483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 867394483200 in words is "eight hundred sixty-seven billion, three hundred ninety-four million, four hundred eighty-three thousand, two hundred".