5745394410624 has 192 divisors, whose sum is σ = 18037671986880. Its totient is φ = 1740864153600.

The previous prime is 5745394410607. The next prime is 5745394410641. The reversal of 5745394410624 is 4260144935475.

5745394410624 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 3 + 9 + 4 + 4 + 1 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (5745394410607) and next prime (5745394410641).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 242542909 + ... + 242566595.

It is an arithmetic number, because the mean of its divisors is an integer number (93946208265).

Almost surely, 2^{5745394410624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745394410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018835993440).

5745394410624 is an abundant number, since it is smaller than the sum of its proper divisors (12292277576256).

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

5745394410624 is a wasteful number, since it uses less digits than its factorization.

5745394410624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42859 (or 42844 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5745394410624 in words is "five trillion, seven hundred forty-five billion, three hundred ninety-four million, four hundred ten thousand, six hundred twenty-four".