6006000000 has 896 divisors, whose sum is σ = 26774657280. Its totient is φ = 1152000000.

The previous prime is 6005999983. The next prime is 6006000019. The reversal of 6006000000 is 6006.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6006000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 461999994 + ... + 462000006.

It is an arithmetic number, because the mean of its divisors is an integer number (29882430).

Almost surely, 2^6006000000 is an apocalyptic number.

6006000000 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 6006000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387328640).

6006000000 is an abundant number, since it is smaller than the sum of its proper divisors (20768657280).

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

6006000000 is an equidigital number, since it uses as much as digits as its factorization.

6006000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 6006000000 is about 77498.3870799903. The cubic root of 6006000000 is about 1817.7260979062.

Adding to 6006000000 its reverse (6006), we get a palindrome (6006006006).

Multiplying 6006000000 by its reverse (6006), we get a square (36072036000000 = 6006000²).

6006000000 divided by its reverse (6006) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 600 and 6000000, that multiplied together give a square (3600000000 = 60000²).

The spelling of 6006000000 in words is "six billion, six million", and thus it is an aban number, an eban number, and an uban number.