6024745481664 has 448 divisors, whose sum is σ = 20661418265600. Its totient is φ = 1504601505792.

The previous prime is 6024745481641. The next prime is 6024745481681. The reversal of 6024745481664 is 4661845474206.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 1227283242 + ... + 1227288150.

It is an arithmetic number, because the mean of its divisors is an integer number (46119237200).

Almost surely, 2^{6024745481664} is an apocalyptic number.

6024745481664 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 6024745481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330709132800).

6024745481664 is an abundant number, since it is smaller than the sum of its proper divisors (14636672783936).

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

6024745481664 is a wasteful number, since it uses less digits than its factorization.

6024745481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 6024745481664 in words is "six trillion, twenty-four billion, seven hundred forty-five million, four hundred eighty-one thousand, six hundred sixty-four".