6042640996224 has 384 divisors, whose sum is σ = 20539464192000. Its totient is φ = 1668655226880.

The previous prime is 6042640996219. The next prime is 6042640996241. The reversal of 6042640996224 is 4226990462406.

6042640996224 is a `hidden beast` number, since 6 + 0 + 4 + 2 + 6 + 4 + 0 + 9 + 9 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202222117 + ... + 202251995.

It is an arithmetic number, because the mean of its divisors is an integer number (53488188000).

Almost surely, 2^{6042640996224} is an apocalyptic number.

6042640996224 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 6042640996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269732096000).

6042640996224 is an abundant number, since it is smaller than the sum of its proper divisors (14496823195776).

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

6042640996224 is a wasteful number, since it uses less digits than its factorization.

6042640996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30746 (or 30731 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 6042640996224 in words is "six trillion, forty-two billion, six hundred forty million, nine hundred ninety-six thousand, two hundred twenty-four".