6006367104 has 128 divisors (see below), whose sum is σ = 17052768000. Its totient is φ = 1866522624.

The previous prime is 6006367091. The next prime is 6006367111. The reversal of 6006367104 is 4017636006.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694197 + ... + 702795.

It is an arithmetic number, because the mean of its divisors is an integer number (133224750).

Almost surely, 2^6006367104 is an apocalyptic number.

6006367104 is a gapful number since it is divisible by the number (64) 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 6006367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526384000).

6006367104 is an abundant number, since it is smaller than the sum of its proper divisors (11046400896).

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

6006367104 is a wasteful number, since it uses less digits than its factorization.

6006367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6006367104 is about 77500.7555059949. The cubic root of 6006367104 is about 1817.7631320347.

The spelling of 6006367104 in words is "six billion, six million, three hundred sixty-seven thousand, one hundred four".