6867360000 has 540 divisors, whose sum is σ = 26148442320. Its totient is φ = 1728000000.

The previous prime is 6867359977. The next prime is 6867360007. The reversal of 6867360000 is 637686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6867360007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27359875 + ... + 27360125.

Almost surely, 2^6867360000 is an apocalyptic number.

6867360000 is a gapful number since it is divisible by the number (60) 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 6867360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074221160).

6867360000 is an abundant number, since it is smaller than the sum of its proper divisors (19281082320).

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

6867360000 is a wasteful number, since it uses less digits than its factorization.

6867360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6867360000 is about 82869.5360189738. The cubic root of 6867360000 is about 1900.7716164180.

Adding to 6867360000 its reverse (637686), we get a palindrome (6867997686).

The spelling of 6867360000 in words is "six billion, eight hundred sixty-seven million, three hundred sixty thousand".