6867432000 has 1344 divisors, whose sum is σ = 31153973760. Its totient is φ = 1419264000.

The previous prime is 6867431999. The next prime is 6867432049. The reversal of 6867432000 is 2347686.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 236807986 + ... + 236808014.

It is an arithmetic number, because the mean of its divisors is an integer number (23180040).

Almost surely, 2^6867432000 is an apocalyptic number.

6867432000 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 6867432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576986880).

6867432000 is an abundant number, since it is smaller than the sum of its proper divisors (24286541760).

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

6867432000 is a wasteful number, since it uses less digits than its factorization.

6867432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6867432000 is about 82869.9704356168. The cubic root of 6867432000 is about 1900.7782591977.

Adding to 6867432000 its reverse (2347686), we get a palindrome (6869779686).

The spelling of 6867432000 in words is "six billion, eight hundred sixty-seven million, four hundred thirty-two thousand".