6129004896 has 144 divisors (see below), whose sum is σ = 19949739264. Its totient is φ = 1748466432.

The previous prime is 6129004867. The next prime is 6129004919. The reversal of 6129004896 is 6984009216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584661 + ... + 1588523.

It is an arithmetic number, because the mean of its divisors is an integer number (138539856).

Almost surely, 2^6129004896 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 6129004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974869632).

6129004896 is an abundant number, since it is smaller than the sum of its proper divisors (13820734368).

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

6129004896 is a wasteful number, since it uses less digits than its factorization.

6129004896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6129004896 is about 78287.9613733810. The cubic root of 6129004896 is about 1830.0515474148.

It can be divided in two parts, 612900 and 4896, that added together give a square (617796 = 786²).

The spelling of 6129004896 in words is "six billion, one hundred twenty-nine million, four thousand, eight hundred ninety-six".