6004455600 has 360 divisors, whose sum is σ = 22775254096. Its totient is φ = 1343232000.

The previous prime is 6004455581. The next prime is 6004455623. The reversal of 6004455600 is 65544006.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1886010 + ... + 1889190.

Almost surely, 2^6004455600 is an apocalyptic number.

6004455600 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 6004455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387627048).

6004455600 is an abundant number, since it is smaller than the sum of its proper divisors (16770798496).

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

6004455600 is a wasteful number, since it uses less digits than its factorization.

6004455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6004455600 is about 77488.4223610211. The cubic root of 6004455600 is about 1817.5702794555.

Adding to 6004455600 its reverse (65544006), we get a palindrome (6069999606).

The spelling of 6004455600 in words is "six billion, four million, four hundred fifty-five thousand, six hundred".