6027768000 has 168 divisors, whose sum is σ = 21562588320. Its totient is φ = 1607385600.

The previous prime is 6027767959. The next prime is 6027768023. The reversal of 6027768000 is 8677206.

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 23 ways as a sum of consecutive naturals, for example, 30141 + ... + 113859.

It is an arithmetic number, because the mean of its divisors is an integer number (128348740).

Almost surely, 2^6027768000 is an apocalyptic number.

6027768000 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 6027768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781294160).

6027768000 is an abundant number, since it is smaller than the sum of its proper divisors (15534820320).

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

6027768000 is a wasteful number, since it uses less digits than its factorization.

6027768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83752 (or 83729 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6027768000 is about 77638.7016892993. The cubic root of 6027768000 is about 1819.9194908637.

The spelling of 6027768000 in words is "six billion, twenty-seven million, seven hundred sixty-eight thousand".