6007856000 has 128 divisors (see below), whose sum is σ = 15108444000. Its totient is φ = 2375577600.

The previous prime is 6007855999. The next prime is 6007856003. The reversal of 6007856000 is 6587006.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007856003) 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 15 ways as a sum of consecutive naturals, for example, 1421891 + ... + 1426109.

Almost surely, 2^6007856000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6007856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554222000).

6007856000 is an abundant number, since it is smaller than the sum of its proper divisors (9100588000).

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

6007856000 is an equidigital number, since it uses as much as digits as its factorization.

6007856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 6007856000 is about 77510.3605977936. The cubic root of 6007856000 is about 1817.9133191394.

The spelling of 6007856000 in words is "six billion, seven million, eight hundred fifty-six thousand".