6004951008 has 96 divisors (see below), whose sum is σ = 18037603584. Its totient is φ = 1713533952.

The previous prime is 6004950977. The next prime is 6004951009. The reversal of 6004951008 is 8001594006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6004951008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004951009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570691 + ... + 581117.

It is an arithmetic number, because the mean of its divisors is an integer number (187891704).

Almost surely, 2^6004951008 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 6004951008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018801792).

6004951008 is an abundant number, since it is smaller than the sum of its proper divisors (12032652576).

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

6004951008 is a wasteful number, since it uses less digits than its factorization.

6004951008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 6004951008 is about 77491.6189532778. The cubic root of 6004951008 is about 1817.6202653412.

The spelling of 6004951008 in words is "six billion, four million, nine hundred fifty-one thousand, eight".