6081304464000 has 1152 divisors, whose sum is σ = 24423943003200. Its totient is φ = 1445769216000.

The previous prime is 6081304463963. The next prime is 6081304464031. The reversal of 6081304464000 is 4644031806.

6081304464000 is a `hidden beast` number, since 6 + 0 + 8 + 1 + 3 + 0 + 4 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 790700155 + ... + 790707845.

Almost surely, 2^{6081304464000} is an apocalyptic number.

6081304464000 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 6081304464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211971501600).

6081304464000 is an abundant number, since it is smaller than the sum of its proper divisors (18342638539200).

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

6081304464000 is a wasteful number, since it uses less digits than its factorization.

6081304464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 6081304464000 its reverse (4644031806), we get a palindrome (6085948495806).

The spelling of 6081304464000 in words is "six trillion, eighty-one billion, three hundred four million, four hundred sixty-four thousand".