6004038081600 has 1344 divisors, whose sum is σ = 23995749173760. Its totient is φ = 1451520000000.

The previous prime is 6004038081589. The next prime is 6004038081631. The reversal of 6004038081600 is 61808304006.

It is a happy number.

6004038081600 is a `hidden beast` number, since 6 + 0 + 0 + 40 + 3 + 8 + 0 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8564961250 + ... + 8564961950.

It is an arithmetic number, because the mean of its divisors is an integer number (17853980040).

Almost surely, 2^{6004038081600} is an apocalyptic number.

6004038081600 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 6004038081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997874586880).

6004038081600 is an abundant number, since it is smaller than the sum of its proper divisors (17991711092160).

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

6004038081600 is a wasteful number, since it uses less digits than its factorization.

6004038081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6004038081600 in words is "six trillion, four billion, thirty-eight million, eighty-one thousand, six hundred".