6011904000 has 448 divisors, whose sum is σ = 21263823360. Its totient is φ = 1504051200.

The previous prime is 6011903971. The next prime is 6011904043. The reversal of 6011904000 is 4091106.

It is a super-2 number, since 2×6011904000² = 72285979410432000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58367949 + ... + 58368051.

Almost surely, 2^6011904000 is an apocalyptic number.

6011904000 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 6011904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631911680).

6011904000 is an abundant number, since it is smaller than the sum of its proper divisors (15251919360).

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

6011904000 is a wasteful number, since it uses less digits than its factorization.

6011904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 6011904000 is about 77536.4688388632. The cubic root of 6011904000 is about 1818.3215213866.

Adding to 6011904000 its reverse (4091106), we get a palindrome (6015995106).

The spelling of 6011904000 in words is "six billion, eleven million, nine hundred four thousand".