6074429068800 has 960 divisors, whose sum is σ = 23309917593600. Its totient is φ = 1547535974400.

The previous prime is 6074429068789. The next prime is 6074429068849. The reversal of 6074429068800 is 88609244706.

6074429068800 is a `hidden beast` number, since 60 + 7 + 442 + 9 + 0 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846370812 + ... + 846377988.

It is an arithmetic number, because the mean of its divisors is an integer number (24281164160).

Almost surely, 2^{6074429068800} is an apocalyptic number.

6074429068800 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 6074429068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654958796800).

6074429068800 is an abundant number, since it is smaller than the sum of its proper divisors (17235488524800).

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

6074429068800 is a wasteful number, since it uses less digits than its factorization.

6074429068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6074429068800 in words is "six trillion, seventy-four billion, four hundred twenty-nine million, sixty-eight thousand, eight hundred".