6008994574800 has 480 divisors, whose sum is σ = 22503237033984. Its totient is φ = 1342075392000.

The previous prime is 6008994574799. The next prime is 6008994574861. The reversal of 6008994574800 is 84754998006.

It is a super-2 number, since 2×6008994574800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 249106740 + ... + 249130860.

Almost surely, 2^{6008994574800} is an apocalyptic number.

6008994574800 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 6008994574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251618516992).

6008994574800 is an abundant number, since it is smaller than the sum of its proper divisors (16494242459184).

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

6008994574800 is a wasteful number, since it uses less digits than its factorization.

6008994574800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24827 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 6008994574800 in words is "six trillion, eight billion, nine hundred ninety-four million, five hundred seventy-four thousand, eight hundred".