6004776442000 has 480 divisors, whose sum is σ = 17464993168896. Its totient is φ = 1989652224000.

The previous prime is 6004776441949. The next prime is 6004776442013. The reversal of 6004776442000 is 2446774006.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429919017 + ... + 429932983.

Almost surely, 2^{6004776442000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004776442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732496584448).

6004776442000 is an abundant number, since it is smaller than the sum of its proper divisors (11460216726896).

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

6004776442000 is a wasteful number, since it uses less digits than its factorization.

6004776442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14152 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 6004776442000 in words is "six trillion, four billion, seven hundred seventy-six million, four hundred forty-two thousand".