6002873604000 has 6144 divisors, whose sum is σ = 31447587225600. Its totient is φ = 1074954240000.

The previous prime is 6002873603971. The next prime is 6002873604001. The reversal of 6002873604000 is 4063782006.

6002873604000 is a `hidden beast` number, since 600 + 2 + 8 + 7 + 3 + 6 + 0 + 40 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6002873604001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 98407763970 + ... + 98407764030.

It is an arithmetic number, because the mean of its divisors is an integer number (5118422400).

Almost surely, 2^{6002873604000} is an apocalyptic number.

6002873604000 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 6002873604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723793612800).

6002873604000 is an abundant number, since it is smaller than the sum of its proper divisors (25444713621600).

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

6002873604000 is a wasteful number, since it uses less digits than its factorization.

6002873604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 6002873604000 in words is "six trillion, two billion, eight hundred seventy-three million, six hundred four thousand".