6128042304384 has 2048 divisors, whose sum is σ = 25899761664000. Its totient is φ = 1390722048000.

The previous prime is 6128042304269. The next prime is 6128042304401. The reversal of 6128042304384 is 4834032408216.

It is a happy number.

6128042304384 is a `hidden beast` number, since 61 + 280 + 4 + 2 + 304 + 3 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5324102209 + ... + 5324103359.

It is an arithmetic number, because the mean of its divisors is an integer number (12646368000).

Almost surely, 2^{6128042304384} is an apocalyptic number.

6128042304384 is a gapful number since it is divisible by the number (64) 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 6128042304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949880832000).

6128042304384 is an abundant number, since it is smaller than the sum of its proper divisors (19771719359616).

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

6128042304384 is a wasteful number, since it uses less digits than its factorization.

6128042304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 6128042304384 in words is "six trillion, one hundred twenty-eight billion, forty-two million, three hundred four thousand, three hundred eighty-four".